   Chapter 4.5, Problem 42E ### 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
1 views

# Differentiating Functions of Others Bases In Exercises 35-44, find the derivative of the function. g ( x ) = log 6 ( 2 x 3 − 5 x 2 )

To determine

To calculate: The derivative of the function g(x)=log6(2x35x2).

Explanation

Given information:

The provided function is g(x)=log6(2x35x2).

Formula used:

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.

The derivative of function f(x)=un using the chain rule is:

f(x)=ddx(un)=nun1dudx

Where, u is the function of x.

Calculation:

Consider the function, g(x)=log6(2x35x2)

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