Question: All the points on the curve y = $\sqrt{\lbrack(x + \sin x)\rbrack}$at which the tangent is paralle...

Question

All the points on the curve y = $\sqrt{\lbrack(x + \sin x)\rbrack}$ at which the tangent is parallel to x-axis lie on a/an :

Answer 1

$\frac{dy}{dx}$ = $\frac{1}{2\sqrt{x + \sin x}}$ × 1 + cos x = 0

Ž cos x = –1 or sin x = 0

\ by curve y² = x + sinx [put sin x = 0]

y² = x which is parabola

Question: All the points on the curve y = \(\sqrt{\lbrack(x + \sin x)\rbrack}\)at which the tangent is paralle...