What is the derivative of (3^2x) with respect to x?
- 2(3^2x)ln(3)
- 2(3^2x)
- 6(3^2x)ln(3)
- 3(3^2x)ln(3)
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)
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