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Find the derivative of $k(x) = x$ at $x = -8$ . $\newline$ Write your answer as an integer or a fractions" target="_blank" class="backlink">fraction. Simplify any fractions. $\newline$ ____ $\newline$

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Find values of derivatives using limits

Full solution

Q. Find the derivative of

k(x) = x

at

x = -8

.

\newline

Write your answer as an integer or a fraction. Simplify any fractions.

\newline

____

\newline

Identify total tape needed: Step $1$ : Identify the total amount of tape needed and the amount per roll. $\newline$ Total tape needed = $8,000 \, \text{cm}$ , Tape per roll = $2,000 \, \text{cm}$ . $\newline$ We need to divide the total tape needed by the amount per roll to find the number of rolls. $\newline$ Calculation: $8,000 \, \text{cm} \div 2,000 \, \text{cm} = 4$ rolls.

More problems from Find values of derivatives using limits

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Consider the curve given by the equation

x y^{2}+5 x y=50

. It can be shown that

\frac{d y}{d x}=\frac{-y(y+5)}{x(2 y+5)} \text {. }

\newline

Write the equation of the vertical line that is tangent to the curve.

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What is the value of

\frac{d}{d x}\left(x^{-3}\right)

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The rate of change

\frac{d P}{d t}

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\newline

\frac{d P}{d t}=\frac{2317}{10614} P\left(1-\frac{P}{662}\right)

\newline

t=0

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and is increasing at a rate of

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P(t)

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The rate of change

\frac{d P}{d t}

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The rate of change

\frac{d P}{d t}

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\frac{d P}{d t}=\frac{45}{125404} P(800-P)

\newline

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Question

The exponential function

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is graphed in the

x y

x

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increases by a factor of

3

. Which of the following could be

f

\newline

1

\newline

f(x)=\left(\frac{1}{3}\right)^{x}

\newline

f(x)=\left(\frac{1}{3}\right)^{x}+3

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f(x)=3^{x}+2

\newline

f(x)=2(3)^{x}

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Question

Which of the following is a correct interpretation of the expression

\newline

-4+13

\newline

1

\newline

(A) The number that is

4

-13

on the number line

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(B) The number that is

4

to the right of

-13

on the number line

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(C) The number that is

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(D) The number that is

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Posted 8 months ago

Question

f

f(x)=x^{3}+2 \sin (3 x-3)

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\newline

Posted 9 months ago

Question

f

f(x)=x^{2}-2 x+3 \cos \left(x^{2}-x\right)

. Use a calculator to write the equation of the line tangent to the graph of

f

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. You should round all decimals to

3

\newline

Posted 9 months ago

Question

f

f(x)=x^{2}+x-2 \sin (2 x)

. Use a calculator to write the equation of the line tangent to the graph of

f

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. You should round all decimals to

3

\newline

Posted 9 months ago

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