If y = cos³(sec² 2t), find dy/dt.

Question

TextDerivative of Functions in Parametric FormCBSE PYQ

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If √(1 – x²) + √(1 – y²) = a (x – y), prove that dy/dx = √(1 – y²)/√(1 – x²).

If y = (tan x)ˣ, then find dy/dx.

Derivative of Functions in Parametric Form

If √(1 − x²) + √(1 − y²) = a(x − y), prove that dy/dx = √((1 − y²)/(1 − x²)).

If sin(xy) = 1, then dy/dx is equal to :

Find dy/dx, if (cos x)^y = (cos y)^x.

If x = a sin 2t, y = a(cos 2t + log tan t), then find dy/dx.