Differentiate the following w.r.t. x:

Question

CASE_STUDIESDerivative of Exponential FunctionsDerivative of Logarithmic Functions4 sub-questions

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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

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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 :