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

Question

TextLogarithmic Differentiation TechniqueDerivative of Functions in Parametric FormCBSE PYQ

Loading...

If y = (tan x)ˣ, then find dy/dx.

If x = e^(cos 3t) and y = e^(sin 3t), prove that dy/dx = – (y log x)/(x log y).

Derivative of Exponential Functions

Derivative of Functions in Parametric Form

Show that : d/dx(|x|) = x/|x|, x ≠ 0

If y = cos³(sec² 2t), find dy/dt.

If xʸ = eˣ⁻ʸ, prove that dy/dx = log x/(1 + log x)².

Given that y = (sin x)ˣ · xˢⁱⁿ ˣ + aˣ, find dy/dx.