Apply Leibnitz's Theorem to find `y_n` in the following cases: ` y=xe^x`

Find y_(n) in following cases: y=sin^(2)x

Apply Rolle's theorem to find oint (or points) on the following curves where the tangent is parallel to x -axis. y = 16 - x^2 , x in [-1,1]

Apply Rolle's theorem to find point (or points) on the following curves where the tangent is parallel to x -axis. y = (x-4)x in [0,4]

Apply Rolle's theorem to find point (or points) on the following curves where the tangent is parallel to x -axis. y = x^2 in[-2.2]

Apply Rolle's theorem to find point (or points) on the following curves where the tangent is parallel to x -axis. y = -1 + cos x in [0,2pi]

Find y_2 in each of the following cases: x=at^2,y=2at

Differentiate the following : y=xe^(-x^(2))

Find y_2 in each of the following cases: y=acostheta,x=bsintheta

Differentiate the following : y = xe^(-x^2)

The curve y=xe^x has