If y = e^(a cos⁻¹ x), then show that (1 – x²) d²y/dx² – x dy/dx – a²y = 0.

Question

TextDerivative of Exponential FunctionsSecond Order Derivative of a FunctionCBSE PYQ

Loading...

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

Text

Derivative of a Function

Derivative of Exponential Functions

Derivative of Functions in Parametric Form

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

Derivative of e²ˣ with respect to eˣ, is:

If xeʸ = 1, then the value of dy/dx at x = 1 is :

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