Compute `d/dx(e^(e)x^e)`

Compute d/(dx) (log_(e) |sinx|), - pi/2 < x < pi/2

d/dx(e^(2sin^-1x)) =

Write the following results in the integral form: d/(dx)(e^(sinx))=e^sinx cosx

Find d/(dx)(e^(sqrt(1+x^2)))

State wheter is true or false: d/dx {e^(f^((x))}} = e^(f(x))d/dx(f(x))

For the following differentiation results, write down the corresponding results in integrations: d/(dx)(e^tanx)=e^tanx sec^2 x

Differentiate the following w.r.t x e^(x^3)

Differentiate the following w.r.tx: (e^x(x-1))/((x^2+1))

Differentiate the following w.r.t.x. e^(e^(x))