Example Knowledge of derivatives of basic functions, including power, exponential, logarithmic, trigonometric, and inverse trigonometric functions
AP Calculus AB 2007
Question 6

Let f be the function defined by

for x>0, where k is a positive constant.

(a) Find f'(x) and f"(x)


To get the answer you use the logarithimic rule, the power rule, and the basic rules of derivatives.