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Let’s check out your problem:
F
(
x
)
=
4
x
2
−
5
x
F(x)=4 x^{2}-5 x
F
(
x
)
=
4
x
2
−
5
x
\newline
f
(
x
)
=
F
′
(
x
)
∫
1
4
f
(
x
)
d
x
=
\begin{array}{l}f(x)=F^{\prime}(x) \\ \int_{1}^{4} f(x) d x=\end{array}
f
(
x
)
=
F
′
(
x
)
∫
1
4
f
(
x
)
d
x
=
View step-by-step help
Home
Math Problems
Calculus
Find higher derivatives of rational and radical functions
Full solution
Q.
F
(
x
)
=
4
x
2
−
5
x
F(x)=4 x^{2}-5 x
F
(
x
)
=
4
x
2
−
5
x
\newline
f
(
x
)
=
F
′
(
x
)
∫
1
4
f
(
x
)
d
x
=
\begin{array}{l}f(x)=F^{\prime}(x) \\ \int_{1}^{4} f(x) d x=\end{array}
f
(
x
)
=
F
′
(
x
)
∫
1
4
f
(
x
)
d
x
=
Calculate Total Tape Needed:
Total tape needed is
8
,
000
cm
8,000\,\text{cm}
8
,
000
cm
, and each roll has
2
,
000
cm
2,000\,\text{cm}
2
,
000
cm
.
Divide by Amount on Each Roll:
Divide the total tape needed by the amount on each roll:
8
,
000
cm
÷
2
,
000
cm
.
8,000 \, \text{cm} \div 2,000 \, \text{cm}.
8
,
000
cm
÷
2
,
000
cm
.
Calculate Division:
Calculate the division:
8
,
000
÷
2
,
000
=
4
8,000 \div 2,000 = 4
8
,
000
÷
2
,
000
=
4
.
Order Rolls of Tape:
The electrician needs to order
4
4
4
rolls of tape.
More problems from Find higher derivatives of rational and radical functions
Question
h
(
x
)
=
(
5
−
6
x
)
5
h
′
(
x
)
=
?
\begin{aligned} h(x) & =(5-6 x)^{5} \\ h^{\prime}(x) & =? \end{aligned}
h
(
x
)
h
′
(
x
)
=
(
5
−
6
x
)
5
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
6
x
5
+
5
x
4
(
5
−
6
x
)
-6 x^{5}+5 x^{4}(5-6 x)
−
6
x
5
+
5
x
4
(
5
−
6
x
)
\newline
(B)
−
30
(
5
−
6
x
)
4
-30(5-6 x)^{4}
−
30
(
5
−
6
x
)
4
\newline
(C)
(
−
6
)
5
(-6)^{5}
(
−
6
)
5
\newline
(D)
5
(
5
−
6
x
)
4
5(5-6 x)^{4}
5
(
5
−
6
x
)
4
Get tutor help
Posted 1 year ago
Question
Find
d
2
d
x
2
[
2
sin
(
−
4
x
−
3
)
]
\frac{d^{2}}{d x^{2}}[2 \sin (-4 x-3)]
d
x
2
d
2
[
2
sin
(
−
4
x
−
3
)]
.
Get tutor help
Posted 1 year ago
Question
f
(
x
)
=
x
11
f
′
(
x
)
=
\begin{array}{l}f(x)=x^{11} \\ f^{\prime}(x)=\end{array}
f
(
x
)
=
x
11
f
′
(
x
)
=
Get tutor help
Posted 1 year ago
Question
f
′
(
x
)
=
5
e
x
and
f
(
7
)
=
40
+
5
e
7
.
f
(
0
)
=
□
\begin{array}{l}f^{\prime}(x)=5 e^{x} \text { and } f(7)=40+5 e^{7} . \\ f(0)=\square\end{array}
f
′
(
x
)
=
5
e
x
and
f
(
7
)
=
40
+
5
e
7
.
f
(
0
)
=
□
Get tutor help
Posted 1 year ago
Question
f
′
(
x
)
=
12
x
2
−
6
x
+
2
and
f
(
−
1
)
=
3.
f
(
2
)
=
\begin{array}{l}f^{\prime}(x)=12 x^{2}-6 x+2 \text { and } f(-1)=3 . \\ f(2)=\end{array}
f
′
(
x
)
=
12
x
2
−
6
x
+
2
and
f
(
−
1
)
=
3.
f
(
2
)
=
Get tutor help
Posted 1 year ago
Question
f
′
(
x
)
=
−
27
e
x
and
f
(
6
)
=
36
−
27
e
6
.
f
(
0
)
=
□
\begin{array}{l}f^{\prime}(x)=-27 e^{x} \text { and } f(6)=36-27 e^{6} . \\ f(0)=\square\end{array}
f
′
(
x
)
=
−
27
e
x
and
f
(
6
)
=
36
−
27
e
6
.
f
(
0
)
=
□
Get tutor help
Posted 1 year ago
Question
f
′
(
x
)
=
−
5
e
x
and
f
(
3
)
=
22
−
5
e
3
.
f
(
0
)
=
□
\begin{array}{l}f^{\prime}(x)=-5 e^{x} \text { and } f(3)=22-5 e^{3} . \\ f(0)=\square\end{array}
f
′
(
x
)
=
−
5
e
x
and
f
(
3
)
=
22
−
5
e
3
.
f
(
0
)
=
□
Get tutor help
Posted 1 year ago
Question
T
(
x
)
=
e
x
2
+
8
x
x
4
+
7
,
T
′
(
x
)
=
T(x) = \frac{e^{x^2 + 8x}}{\sqrt{x^4 + 7}},\quad T'(x) =
T
(
x
)
=
x
4
+
7
e
x
2
+
8
x
,
T
′
(
x
)
=
Get tutor help
Posted 1 year ago
Question
G
(
x
)
=
(
x
+
3
)
2
g
(
x
)
=
G
′
(
x
)
∫
−
1
7
g
(
x
)
d
x
=
\begin{array}{l}G(x)=(x+3)^{2} \\ g(x)=G^{\prime}(x) \\ \int_{-1}^{7} g(x) d x=\end{array}
G
(
x
)
=
(
x
+
3
)
2
g
(
x
)
=
G
′
(
x
)
∫
−
1
7
g
(
x
)
d
x
=
Get tutor help
Posted 1 year ago
Question
You pick a card at random, put it back, and then pick another card at random.
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
What is the probability of picking a number greater than
5
5
5
and then picking a
4
4
4
?
\newline
Write your answer as a percentage.
Get tutor help
Posted 6 months ago
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