   Chapter 11.2, Problem 29E ### 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

# Find the derivatives of the functions in Problems 1-34. y = ( e 3 x + 4 ) 10

To determine

To calculate: The derivative of function, y=(e3x+4)10.

Explanation

Given Information:

The provided function is y=(e3x+4)10.

Formula used:

The differentiation of exponential function y=eu with respect to x:

ddxeu=eududx

Where u is a differentiable function of x.

The power rule of differentiation for y=un with respect to x:

ddxun=nun1dudx

Where u is a differentiable functions of x.

Calculation:

Consider the provided function,

y=(e3x+4)10

Now differentiate both sides with respect to x,

dydx=ddx(e3x+4)10

Now apply, power rule of differentiation:

ddxun=nun1dudx

To obtain the derivative as:

ddx(e3x+4)10=10(e3x+4)101ddx(e3x+4)=

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