If x-at2- y-2at- then d2y-dx2 is

The correct option is D 12at^3 We have x=at^2, y=2at ⇒dxdt=2at=y, dydt=2a Thus dydx=dy/dtdx/dt=2ay ⇒d^2ydx^2=2a( 1y^2)dydx=2a( 1y^2)2 ...

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Parametric Differentiation

If x=at2, y...

Question

If $x = a t^{2}, y = 2 a t$ , then $\frac{d^{2} y}{d x^{2}}$ is

- \frac{1}{t^{2}}

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- \frac{1}{2 a t^{2}}

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- \frac{1}{t^{3}}

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- \frac{1}{2 a t^{3}}

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Similar questions

x = a t^{2}, y = 2 a t

\frac{d^{2} y}{d x^{2}} = \frac{- 1}{2 a t^{2}}

x = a t^{2}

y = 2 a t

\frac{d^{2} y}{d x^{2}}

t = \frac{1}{2}

x = a t^{2}, y = 2 a t

\frac{d^{2} y}{d x^{2}}

x = a t^{2}, y = 2 a t

\frac{d^{2} y}{d x^{2}} =

x = a t^{2}

y = 2 a t

\frac{d^{2} y}{d x^{2}}

t = \frac{1}{2} i s

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