`e^(cotx)`

Differentiate the following functions with respect to x : e^(x) cotx

int e^x(1-cotx + cot^2x) dx =

Evaluate the following integrals: int e^x(cotx-cosec^2x)dx

y=(tanx)^(cotx)+(cotx)^(tanx)

"If "y=(tanx)^(cotx)+(cotx)^(tanx)",prove that "(dy)/(dx)=(tanx)^(cotx)."cosec"^(2)x(1-logtanx)+(cotx)^(tanx).sec^(2)x[log(cotx)-1].

Find dy/dx : y=(tanx)^(cotx)+(cotx)^(tanx)

lim_(xrarrpi//2)(a^(cotx)-a^cosx)/(cotx-cosx)a gt 0 is equal to

Lt_(x to pi//2)(a^(cotx)-a^(cosx))/(cotx-cosx)=

Differentiate e^(sqrt(cotx))

If y=e^(sqrt(cotx)) , find (dy)/(dx) .