## Calculus 10th Edition

Published by Brooks Cole

# Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.3 Exercises: 25

#### Answer

$f(x)$ does not have an inverse function.

#### Work Step by Step

We use the power rule to find the derivative of $f(x)$. $f'(x) = x^3 - 4x = x(x^2-4) = x(x+2)(x-2)$ $f'(x)$ can be both positive and negative so $f(x)$ is not strictly monotonic on its entire domain.

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