if `f(x)=e^(x)+4x` then `f'(x)=`

If f(x)=e^x(x-2)^2 then

If f(x)=sinx+e^x , then f''(x)

If f(x)=x.e^(x(1-x)) , then f(x) is

f(x)=e^x-e^(-x) then find f'(x)

If f(x) = 4^x then f(log_(4)x) =

If f(x)=e^(x)(x-2)^(2) then-

If f(x) =|log_(e)|x||, then f'(x) equals

Instead of the usual definition of derivative Df(x), if we define a new kind of derivative D^*F(x) by the formula D*f(x)=lim_(h->0)(f^2(x+h)-f^2(x))/h ,w h e r ef^2(x) mean [f(x)]^2 and if f(x)=xlogx ,then D^*f(x)|_(x=e) has the value (A)e (B) 2e (c) 4e (d) none of these

If f(x)=4^(x)/(4^(x)+2) then find f(x) + f(1 - x).