If `f(1)=4`, `f'(1)=2` then find the value of derivative of `log f(e^x)` with respect to x at the point x = 0

If f(1)=4,f'(1)=2, find the value of the derivative of log(f(e^(x))) with respect to x at the point x=0.

If f(1)=4 , f^(prime)(1)=2 , find the value of the derivative of log(f(e^x)) with respect to x at the point x=0 .

Find the second order derivative of f(x)=log x with respect to x

f(x)=log_(e)x, find value of f(1)

Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1 , then derivative of f(x) with respect to x, is

Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1 , then derivative of f(x) with respect to x, is

f(0)=1 , f(2)=e^2 , f'(x)=f'(2-x) , then find the value of int_0^(2)f(x)dx

If f(x)=e^(sin(log cos x)) and g(x)=log cos x , then what is the derivative of f(x) with respect to g(x) ?

If F(x)=int_(e^(2x))^(e^(3x))(t)/(log_(e)t)dt, then the first derivative of F(x) with respect to ln x at x=ln2 is

If f(x) = cos(log_e x) , then find the value of f(x) cdot f(y) - 1/2[f(x/y) + f(xy)]