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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem

Using Parentheses when Differentiating In Exercises 25-30, find the derivative of the function. See Example 6.

Function Rewrite Differentiate Simplify

y = 4 ( 2 x ) 5

To determine

To calculate: The derivative of function y=4(2x)5.

Explanation

Given information:

The provided function is y=4(2x)5.

Formula used:

The power rule is;

The derivative of function y=xn is;

ddx[xn]=nxn1

Here n is real number.

The constant multiple rule is;

ddx[cf(x)]=cf(x)

Calculation:

The provided function is,

y=4(2x)5

The simplified form of above function is;

y=4(2x)5=4(2x)5=4(2)5x5=128x5

The derivative of function y

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