   Chapter 11.2, Problem 5E ### 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. g ( x ) = 500 ( 1 − e − 0.1 x )

To determine

To calculate: The derivative of function, g(x)=500(1e0.1x).

Explanation

Given Information:

The function is g(x)=500(1e0.1x).

Formula used:

According to the property of derivatives, if f(x)=cu(x), where, c is a constant and u(x) is a differentiable function of x, then,

f(x)=cu(x)

According to the property of derivatives, for a function, y=eu, where, u is a differentiable function of x,

dydx=eududx

Calculation:

Consider the function provided,

g(x)=500(1e0.1x)

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

g(x)=ddx(500(1e0

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