If y-cos3 cos -1 x- then d2 y2-d x2

The correct option is B 24x y=cos(3 cos^ 1)=4x^3 3x(cos3A=4cos^3A 3 cosA) ∴dy/dx=12x^2 3 d^2y/dx^2=24x ...

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Basic Differentiation Rule

If y=cos3 cos...

Question

If $y = c o s (3 c o s^{- 1} x)$ , then $\frac{d^{2} y}{d x^{2}}$

24x

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12x²

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y (x) = c o s (3 c o s^{- 1} x), x \in [- 1, 1], x \neq \pm \frac{\sqrt{3}}{2}

\frac{1}{y (x)} {(x^{2} - 1) \frac{d^{2} y (x)}{d x^{2}} + x \frac{d y (x)}{d x}}

$I f y = 500 e^{7 x} + 600 e^{- 7 x}, s h o w t h a t \frac{d^{2} y}{d x^{2}} = 49 y .$

y = cos (3 {cos}^{- 1} x)

\frac{d^{3} y}{d x^{3}} = 24

y = sin (7 {sin}^{- 1} x)

(1 - x^{2}) y_{2} - x y_{1} + 49 y = 0

y = cos (m {cos}^{- 1} x)

(1 - x^{2}) \frac{d^{2} y}{d x^{2}} - x \frac{d y}{d x} =

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