Derivatives Of Exponential Functions

Question 1

Y=e^u(x)

Answer 1

Y’=e^u(x)•du/dx

Question 2

Y=log(u(x),b)

Answer 2

Y’=1/(u(x)•lnb)•dy/dx

Question 3

Y=ln(u(x))

Answer 3

Y’=1/u(x) • du/dx

Question 4

Y=a^u(x)

Answer 4

Y’=a^u(x)•lna•dy/dx