Chapter 3 - Section 3.5 - Derivatives of Trigonometric Functions - Exercises - Page 151: 33

a) $y'' = cosecx(cot^{2}x +cosec^{2}x)$ b) $y'' = secx(tan^{2}x + sec^{2}x)$

a) $y = cosecx$ $y' = -cosecx\ cotx$ $y'' = cosecx\ cot^{2}x + cosec^{3}x$ $y'' = cosecx(cot^{2}x +cosec^{2}x)$ b) $y = secx$ $y' = secx\ tanx$ $y'' = secx\ tan^{2}x + sec^{3}x$ $y'' = secx(tan^{2}x + sec^{2}x)$