# Chapter 4 - Practice Exercises - Page 276: 1

No local maximum value or minimum value

#### Work Step by Step

Let us take the derivative of the given function: $f'(x)= 3x^2+2x+\sec^2 x$ for all $x \neq \pi/2+k \pi$ Thus, the function $f(x)$ does not not have any critical points or real solutions. Thus: no local maximum value or minimum value.

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