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Find derivatives of using multiple formulae

Three points on the graph of the function

f(x)

\{(0,5),(1,6),(2,9)\}

. Which equation represents

f(x)

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f(x)=x^{2}+5

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f(x)=x+5

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f(x)=5 \cdot\left(\frac{6}{5}\right)^{x}

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f(x)=3 x+3

Three points on the graph of the function

f(x)

\{(0,6),(1,7),(2,8)\}

. Which equation represents

f(x)

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f(x)=x^{2}+6

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f(x)=x+6

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f(x)=6 \cdot\left(\frac{7}{6}\right)^{x}

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f(x)=x-6

m=6 x+5

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Which equation is equivalent to

(6 x+5)^{2}-10=-18 x-15

m

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1

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m^{2}-3 m+5=0

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m^{2}+3 m+5=0

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m^{2}-3 m-10=0

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m^{2}+3 m-10=0

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\frac{(x^{6}y^{4})^{\frac{3}{2}}}{(x^{-3}y^{-\frac{1}{2}})^{\frac{2}{3}}}(x^{9}y^{6})\div(x^{-2}y^{-\frac{1}{3}})

p=x^{2}-7

. Which equation is equivalent to

(x^{2}-7)^{2}-4x^{2}+28=5

p

1

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p^{2}-4p+23=0

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p^{2}+4p-5=0

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p^{2}-4p-5=0

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p^{2}+4p+23=0

\frac{2x^{3}-3x^{2}+4x+2}{(x-4)^{2}(x+3)^{2}}

\left(\frac{3x^{\left(\frac{2}{2}\right)}y^{3}}{x^{2}y^{-\left(\frac{1}{2}\right)}}\right)^{-2}

Factor the expression completely.

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x^{5} y^{5}+x y^{4}

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Factor the expression completely.

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x^{2} y^{2}+x^{4} y^{5}

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Factor the expression completely.

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x y^{5}+x^{3} y^{3}

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Factor the expression completely.

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x^{5} y^{5}+x^{3} y^{3}

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Factor completely:

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36 x^{2}-81 x-3 x^{3}

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Factor completely:

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11 x^{2}-10 x-x^{3}

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Factor completely:

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x^{3}-5 x^{2}+4 x

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Factor completely:

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x^{3}-17 x^{2}+72 x

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Factor completely:

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x^{3}-9 x^{2}+14 x

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Factor completely:

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2 x^{3}-12 x^{2}+10 x

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Factor completely:

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12 x^{2}-16 x-2 x^{3}

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Factor completely:

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70 x-3 x^{2}-x^{3}

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Factor completely:

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2 x^{3}-14 x^{2}+12 x

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Factor completely:

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3 x^{3}-36 x^{2}+96 x

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Factor completely:

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45 x^{2}-168 x-3 x^{3}

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Factor completely:

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40 x-2 x^{2}-2 x^{3}

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Factor completely:

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20 x+x^{2}-x^{3}

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Factor completely.

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-4 x^{4}+48 x^{3}+52 x^{2}

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Which equation has the same solution as

x^{2}+15 x+4=-10

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(x-7.5)^{2}=-70.25

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(x+7.5)^{2}=-70.25

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(x+7.5)^{2}=42.25

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(x-7.5)^{2}=42.25

Factor the expression completely.

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x^{4}-13 x^{2}+36

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Factor the expression completely.

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x^{4}-11 x^{2}+30

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Factor the expression completely.

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x^{4}+12 x^{2}+27

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Factor the expression completely.

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x^{4}-10 x^{2}+21

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Factor the expression completely.

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x^{4}+5 x^{2}-24

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Which equation has the same solution as

x^{2}+x-11=-7

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(x-0.5)^{2}=3.75

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(x+0.5)^{2}=4.25

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(x+0.5)^{2}=3.75

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(x-0.5)^{2}=4.25

Factor completely.

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x^{6}-100 y^{2}

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Factor the expression completely.

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-100 x^{2}+30 x^{3}

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j = \frac{m}{c} \cdot 78

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Which of the following equations correctly expresses

c

j

m

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1

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c = \frac{m}{j} \cdot 78

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c = \frac{m}{78 \cdot j}

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c = \frac{j}{m} \cdot 78

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c = \frac{j}{78 \cdot m}

\frac{5m}{m^{2}-24 mn+144n^{2}}+\frac{2n}{m^{2}-144n^{2}}

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Which expression is equivalent to the sum?

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1

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\frac{5m^{2}+60 mn+2n^{2}}{(m-12 n)(m+12 n)}

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\frac{5m^{2}+62 mn-24n^{2}}{(m-12 n)^{2}(m+12 n)}

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\frac{5m-24 mn+2n}{(m-12 n)(m-12 n)}

\lim_{x \to 0}\frac{1-\cos x}{\sqrt{1+x^{2}}-\sqrt{1-x^{2}}}=\square

Q=\sqrt{\left(\frac{2KD}{F}\right)}

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For companies that monitor the inventory of a product, the equation gives

Q

, the quantity to order of the product as a function of

K

, the ordering cost,

D

, the annual demand for the product and

F

, the average holding cost of the product. Which of the following equations correctly gives the annual demand for the product in terms of the quantity to order, the ordering cost, the annual demand, and the average holding cost for the product?

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1

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D=\sqrt{\left(\frac{2FQ}{K}\right)}

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D=\sqrt{\left(\frac{FQ}{2K}\right)}

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D=\frac{2FQ^{2}}{K}

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D=\frac{FQ^{2}}{2K}

\left(\frac{d^{k}y}{dx^{k}}\right) = (-1)^{k-1}\frac{(k-1)!a^{k}}{(ax+1)^{n}}

3x^{2}+4xy^{2}

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Which of the following is equivalent to the given expression?

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1

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x(3x+4y)

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x(3x+4y^{2})

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x^{2}(3+4y)

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x^{2}(3+4y^{2})

\triangle \mathrm{GHI}, \mathrm{m} \angle G=(5 x+17)^{\circ}, \mathrm{m} \angle H=(4 x-10)^{\circ}

\mathrm{m} \angle I=(3 x+5)^{\circ}

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\mathrm{m} \angle G

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\triangle \mathrm{KLM}, \mathrm{m} \angle K=(6 x+4)^{\circ}, \mathrm{m} \angle L=(x+6)^{\circ}

\mathrm{m} \angle M=(2 x-1)^{\circ}

\mathrm{m} \angle M

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What is the value of

A

when we rewrite

1.44^{-1.2 x}

A^{x}

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1

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A=\frac{144}{12}

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A=12^{24 x}

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A=1.44^{1.2}

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A=1.44^{-1.2}

For the following equation, evaluate

f^{\prime}(1)

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f(x)=-3 x^{5}+4 x^{3}-2 x

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For the following equation, find

f^{\prime}(x)

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f(x)=-4 x^{5}+8 x^{4}-4 x^{3}-x^{2}-6 x

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f^{\prime}(x)=

For the following equation, find

f^{\prime}(x)

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f(x)=7 x^{5}-6 x^{4}+4 x^{3}+5

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f^{\prime}(x)=

For the following equation, find

\frac{d y}{d x}

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y=-x^{4}+9 x^{2}-8 x

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\frac{d y}{d x}=

For the following equation, find

f^{\prime}(x)

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f(x)=-6 x^{5}-9 x^{4}+x^{3}+6

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f^{\prime}(x)=

For the following equation, find

\frac{d y}{d x}

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y=-5 x^{5}-6 x^{4}-3 x^{3}+7 x^{2}+6

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\frac{d y}{d x}=

For the following equation, find

f^{\prime}(x)

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f(x)=-7 x^{5}+7 x^{3}-9 x^{2}-9 x-8

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f^{\prime}(x)=

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