## Calculus 10th Edition

Published by Brooks Cole

# Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.3 Exercises: 26

#### Answer

$f(x)$ has an inverse function.

#### Work Step by Step

We use the power rule to find the derivative of $f(x)$. $f'(x) = 5x^4 + 6x^2 = x^2(5x^2+6)$ Both $x^2$ and $5x^2+6$ are always positive so $f'(x)$ is always positive. Therefore, $f(x)$ is strictly monotonic.

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