Question

If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.
x = 2at², y = at⁴
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Answer 1

Answer:

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Step-by-step explanation:

it is given that x = 2at² and y at4 = step 1: differentiate x with respect to t, dx d dt dt (2at²)

= 4at²-1 = = 4at

step 2:- differentiate y with respect to t, dy d dt dt (at²)

4at4-1 = 4at³

now, dividing dy/dt with dx/dt

e.g., dy/dt • dx/dt

dy - t²

hence, the value of dy/dx is t²

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