   Chapter 11, Problem 4T ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 1-8, find the derivative of each function. 4.   f ( x ) = 10 ( 3 2 x )

To determine

To calculate: The derivative of the function f(x)=10(32x).

Explanation

Given Information:

The provided function is,

f(x)=10(32x)

Formula used:

The differential ddx(cf(x)) can be written as cddxf(x) where c is any non-zero real number.

Derivative of y=au:

If y=au, where a>0, a1 and u is a differential function of x, then

dydx=aududxlna

According to the power rule of derivatives:

ddx(xn)=nxn1

Calculation:

Consider the provided function,

f(x)=10(32x)

First, take the derivative of both sides of the equation with respect to x as:

ddxf(x)=ddx[10(32x)]

For any non-zero real number c, ddx(cf(x))=cddxf(x)

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