If `x+y=3e^2t h e d/(dx)(x^y)=0forx=` `e^2` b. `e^e` c. `e` d. `2e^2`

(d)/(dx)(3^x)(e^x)

d/(dx)(e^xlogsin2x)=

d/(dx)log_|x|e=

d/(dx)[e^xlog(1+x^2)]=

d/(dx) (e^(x sin x)) =

d/dx (e^(sin√x))

(d)/(dx)(log e^(x)*log x)

(d)/(dx)(e^(log_(e)x^(3)))

Differentiate e^(x)(x^(3) +sqrtx)

The solution of the differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y) is (A)y=e^(x)+(1)/(2)x^(2)+c(B)e^(y-x)=(1)/(3)x^(3)+c(C)e^(y)=e^(x)+(1)/(3)x^(3)+c(D)none of these