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Attempt following question by selecting a choice to answer.
e
Find the slope of the curve
y
=
5
x
2
at
x
= 4.
BBB eee
A.
e

5
32
B.
e
5
32
C.
e
25
32
D.
e
1
1
6
E.
e

5
4
ee
A
View Solution Steps
Step 1:
y
=
5
x
2
[Equation of the curve.]
Step 2:
d
y
d
x
=
d
d
x
(
5
x

2
)[Find
d
y
d
x
.]
Step 3:
d
y
d
x
=  10
x
^{ 3}
= 
1
0
x
3
[Use Power Rule.]
Step 4: (
d
y
d
x
)
_{x = 4}
= 
1
0
(
4
)
3
= 
5
32
[Find the slope of the curve at
x
= 4]
Step 5: So, the slope of the curve at
x
= 4 is 
5
32
.
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