Differentiate the following functions with respect to x :

If prove that

Differentiate each of the following w.r.t. x

(sin x)^{cos x}

If , show that

If y^x = e^y–x, prove that

Find all points of discontinuity of f, where f is defined as follows:

OR

Find , if y = (cos x)^x + (sin x)^1/x.

Differentiate the function with respect to x.

OR

If prove that

Differentiate the following function w.r.t. x:

(x)^{cos x} + (sin x)^{tan x}