   Chapter 4.5, Problem 37E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Differentiating Functions of Other Bases In Exercises 35-44, find the derivative of the function. f ( x ) = log 2 x

To determine

To calculate: The derivative of the function f(x)=log2x.

Explanation

Given information:

The provided function is f(x)=log2x.

Formula used:

As with the natural logarithm function if a and x is a positive number such that a1 and x1 then as per change-of -base formula logax=lnxlna.

Let a be a positive real number a1 and u be a differentiable function of x. the derivative of natural logarithm of a function is ddx[logau]=(1lna)(1u)dudx.

Calculation:

Consider the function, f(x)=log2x

Apply change-of-base formula

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