What is the derivative of (3^2x) with respect to x?

What is the derivative of (3^2x) with respect to x?

Explanation

  • The derivative of a^u with respect to x is a^u(ln(a))(du/dx).
  • In this case, a = 3 and u = 2x.
  • So, the derivative is: d(3^2x)/dx = 3^2x(ln(3))(2) = 2(3^2x)ln(3)