Given that xʸ + yˣ = aᵇ, where a and b are positive constants, find dy/dx.

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

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

Show that : d/dx(|x|) = x/|x|, x ≠ 0

The derivative of 2^x w.r.t. 3^x is :

Derivative of e²ˣ with respect to eˣ, is: