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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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In Exercises 9 and 10, find the second derivative of the function.

f ( x ) = 1 6 x 2

To determine

To calculate: The second order derivative of the function f(x)=16x2.

Explanation

Given information:

The provided equation is function f(x)=16x2.

Formula used:

The derivative of power function f(x)=xn:

ddx(xn)=nxn1

Where, u is the function of x.

Calculation:

Consider the function, f(x)=16x2

Rewrite the function in exponential form,

f(x)=16x2=16x2

Now differentiate the function with respect to x,

f(x)=ddx(16x2)

Now apply the derivative of power function,

ddx(16x

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