   Chapter 11, Problem 10RE ### 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 1-12, find the derivative of each function. y = 1 + log 8 ( x 10 )

To determine

To calculate: The derivative of the provided function y=1+log8(x10).

Explanation

Given Information:

The provided function is:

y=1+log8(x10)

Formula used:

The derivatives of logarithmic function:

ddxln(f(x))=1f(x)ddxf(x)

Where f(x) is a differentiable function of x.

Calculation:

Consider the provided function:

y=1+log8(x10)

Rewrite the function using logarithmic property logab=lnblna as:

y=1+10lnxln8

Differentiate both sides with respect to x as:

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