Science:Math Exam Resources/Courses/MATH100/December 2010/Question 04 (c)

MATH100 December 2010
Other MATH100 Exams

Question 04 (c)

Let

${\displaystyle f(x)={\begin{cases}{\frac {4}{\pi }}\tan ^{-1}x&{\text{if }}x\geq 1\\2-x^{4}&{\text{if }}x<1\end{cases}}}$

NOTE: Another notation for tan-1(x) is arctan(x)

Determine all critical numbers, open intervals where ƒ is increasing or decreasing, and the x-coordinates of all local maxima or local minima (if any).

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