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)

Answer:

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

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

Let f be the function defined by

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

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

Answer:

Explanation:

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