   Chapter 4.5, Problem 36E ### 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. y = ( 1 4 ) x

To determine

To calculate: The derivative of the function y=(14)x.

Explanation

Given information:

The provided function is y=(14)x.

Formula used:

Let a be a positive real number (a1) and let u be a differentiable function of x then,

ddx(ax)=(lna)ax

Calculation:

Consider the function, y=(14)x

Re-write as,

y=(14)xy=(41)x=4x

Apply the formula ddx(ax)=(lna)ax and dif

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