Find the points of local maxima or minima for the function f x -sin 2 x on -0- -A- local maxima at x-3B- Nolocal maxima or minimaC- local maxima at x-2D- local minima at x-2

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First Derivative Test for Local Maximum

Find the poin...

Question

Find the points of local maxima or minima for the function
f(x) =sin²x on [0,π]

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f (x) = {sin}^{4} x + {cos}^{4} x i n [0, π]

f (x) = sin x + cos x, x \in [0, π]

f (x) = ⎧ ⎪ ⎪ ⎨ ⎪ ⎪ ⎩ \begin{matrix} x^{3} + x^{2} - 10 x; & - 1 \leq x < 0 sin x; & 0 \leq x < \frac{π}{2}, 1 + cos x; & \frac{π}{2} \leq x \leq π \end{matrix}

f

f (x) = {sin}^{4} x + {cos}^{4} x, x \in [0, π / 2]

(a)

(b)

x = π / 4

h (x) = sin x + cos x, 0 < x < \frac{π}{2}

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