The volume of a cube with sides of length s is given by V = s3. Find the rate of change of the volume with respect to s when s = 13 centimeters. V '(13) = _ cm2

108

c

m

3

Step-by-step explanation:

We are given the volume function:

V

=

s

3

The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.

d

V

d

s

(

s

3

)

=

3

s

2

We now plug in

s

=

6

3

s

2

=

3

(

6

)

2

=

108

c

m

3

s

its b

step-by-step explanation:

step-by-step explanation:

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