Find y'' for the following functions.

y = tan x

Find y'' for the following functions.

y = cos θ sin θ

Find y⁽⁴⁾ = d⁴y/dx⁴ if:

a. y = −2 sin x

Find y'' if:

a. y = csc x

Derivative Calculations

In Exercises 1–12, find the first and second derivatives.

y = x² + x + 8

Derivative Calculations

In Exercises 1–12, find the first and second derivatives.

w = 3z⁷ − 7z³ + 21z²

Derivative Calculations

In Exercises 1–12, find the first and second derivatives.

y = x³/3 + x²/2 + x/4

Derivative Calculations

In Exercises 1–12, find the first and second derivatives.

y = 6x² − 10x − 5x⁻²