### Home > APCALC > Chapter 5 > Lesson 5.2.5 > Problem5-106

5-106.

Use your derivative tools to write the second derivative, $\large\frac { d ^ { 2 } y } { d x ^ { 2 } }$, of each function below. Homework Help ✎

1. y = $\frac { \operatorname { sin } ( x ) } { x }$

2. y = csc2(x) – cot2(x)

3. y = $\sqrt { \frac { 1 } { x } }$

You could use the quotient rule AND the chain rule...Or you could rewrite y as with exponents and quickly use the Power Rule!

4. y = $| x - 2 |$

Rewrite y as a piecewise function. The derivative will be a piecewise function as well. So will the second derivative.