If xy = eˣ⁻ʸ, then show that dy/dx = y(x – 1)/(x(y + 1)).

Question

TextDerivative of Exponential FunctionsLogarithmic Differentiation TechniqueCBSE 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

Derivative of e^(sin²x) with respect to cos x is :

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

If yˣ = xʸ, then find dy/dx.

∫ 2^(x+2) dx is equal to :