The number of local maxima/maximum for the function y=x2-2sin x,∀ x∈ (0 , (π /2)) is

Question

The number of local maxima/maximum for the function y=x2-2sin x,∀ x∈ (0 , (π /2)) is (A) 0 (B) 1 (C) 2 (D) 3

Tardigrade Admin · Accepted Answer

As, (d y/d x)=2(x - cos x) <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/m-eesgdcwgqpah.png" /> Hence, the function shows a local minimum at x=α but no maximum

Q. The number of local maxima/maximum for the function $y = x^{2} - 2 s in x, \forall x \in (0, \frac{π}{2})$ is

$0$

$1$

$2$

$3$

As, $\frac{d y}{d x} = 2 (x - cos x)$

Hence, the function shows a local minimum at $x = α$ but no maximum

Q. The number of local maxima/maximum for the function y=x2−2sinx,∀x∈(0,2π​) is

0

1

2

3

As, dxdy​=2(x−cosx) Hence, the function shows a local minimum at x=α but no maximum

Q. The number of local maxima/maximum for the function $y = x^{2} - 2 s in x, \forall x \in (0, \frac{π}{2})$ is

$0$

$1$

$2$

$3$

As, $\frac{d y}{d x} = 2 (x - cos x)$

Hence, the function shows a local minimum at $x = α$ but no maximum