   Chapter 11.2, Problem 4E ### 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. f ( x ) = 4 e x − ln x

To determine

To calculate: The derivative of function, f(x)=4exlnx.

Explanation

Given Information:

The function is f(x)=4exlnx.

Formula used:

According to the property of derivatives, the derivative of an exponential function is

dydx=ex

According to the property of derivatives, the derivative of a logarithmic function is

ddx(logx)=1x

Calculation:

Consider the function provided,

f(x)=4exlnx

Differentiate both sides of function with respect to x using the property of derivatives,

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