Let f x - eft begin matrix x- 3-x- 2-10 x -1 leq x-0 sin x - 0 leq x - frac pi 2lendmatrix -right A- local maxima at x -2B- local minima at x -2C- absolute maxima at x -0D- absolute maxima at x -1

The correct options are A local maxima at x=π/2 D absolute maxima at x = 1 From the graph ∴ absolute maxima at x = 1 Local maxima at x =π/2 ...

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Secant of a Curve y =f(x)

Let f x =⟨ ef...

Question

Let
$f (x) = ⎧ ⎪ ⎪ ⎨ ⎪ ⎪ ⎩ \begin{matrix} x^{3} + x^{2} - 10 x & - 1 \leq x < 0 s i n x & 0 \leq x < \frac{π}{2} 1 + c o s x & \frac{π}{2} \leq x \leq π \end{matrix}$

local maxima at

x = \frac{π}{2}

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local minima at

x = \frac{π}{2}

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absolute maxima at x = 0

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absolute maxima at x = -1

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