If x - 2 at2- y - at4 find dydx-

x=2at^2 dxdt=2a.2t dxdt=4at y=at^4 dydt=4at^3 dydx=dy/dtdx/dt dydx=4at^34at dydx=t^2 ...

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Implicit Differentiation

If x = 2 at...

Question

If $x = 2 a t^{2}, y = a t^{4}$ find $\frac{d y}{d x}$ .

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\frac{d y}{d x}

x = 2 a t^{2}, y = a t^{3}

x

y

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x = 2 a t^{2}, y = a t^{4}

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\frac{d y}{d x}

Find $\frac{d y}{d x}$ , if x and y are connected parametrically by the equations given in questions without eliminating the parameter.

$x = 2 a t^{2}, y = a t^{4} .$

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