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

5-106.

Use your derivative tools to write the second derivative,

*y*=*y*= csc^{2}(*x*) – cot^{2}(*x*)*y*=You could use the quotient rule AND the chain rule...Or you could rewrite

*y*as with exponents and quickly use the Power Rule!*y*=Rewrite

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