   Chapter 4.5, Problem 41E ### 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 Others Bases In Exercises 35-44, find the derivative of the function. y = log 10 ( x 2 + 6 x )

To determine

To calculate: The derivative of the function y=log10(x2+6x).

Explanation

Given information:

The provided function is y=log10(x2+6x).

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,

ddx(un)=nun1dudx

Where, u is the function of x.

Calculation:

Consider the function, y=log10(x2+6x)

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