   Chapter 4.5, Problem 44E ### 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 = x 3 x + 1

To determine

To calculate: The derivative of the function y=x3x+1.

Explanation

Given information:

The provided function is y=x3x+1.

Formula used:

Let a be a positive real number (a1) then ddx(ax)=(lna)ax.

Product rule of derivative of differentiable functions, f(x) and g(x) is,

ddx[f(x)g(x)]=f(x)g(x)+f(x)g(x)

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=x3x+1

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