Math  /  Calculus

QuestionFind the local maxima and minima for the function. Find the intervals on which it is increasing and the intervals on which it is decreasing. y=cos(πx2),1x1y=\cos \left(\pi x^{2}\right),-1 \leq x \leq 1
Find the local maxima and minima of the function. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed. Use a comma to separat answers as needed.) A. The local minimum/minima is/are \square and the local maximum/maxima is/are \square . B. The local minimum/minima is/are \square and there are no local maxima. C. The local maximum/maxima is/are \square and there are no local minima. D. There are no local minima or maxima.

Studdy Solution
The local minima are (1,1)(-1, -1) and (1,1)(1, -1) and the local maximum is (0,1)(0, 1).
So the answer is A.
The function is increasing on the interval [1,0][-1, 0] and decreasing on the interval [0,1][0, 1].

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