Contoh 1

\(y = \sin (4x + 5)\)

\(\dfrac{dy}{dx} = y' = 4 \:.\: \cos (4x + 5)\)

\(\dfrac{d^2y}{dx^2} = y'' = -4 \:.\: 4 \:.\: \sin (4x + 5) = -16 \:.\: \sin (4x + 5) \)

Contoh 2

\(y = \cos (3x + 1)\)

\(\dfrac{dy}{dx} = y' = -3 \:.\: \sin (3x + 1)\)

\(\dfrac{d^2y}{dx^2} = y'' = -3 \:.\: 3 \:.\: \cos (3x + 1) = -9 \:.\: \cos (3x + 1) \)

Contoh 3

\(y = 4 \sin (2t - 10)\)

\(\dfrac{dy}{dx} = y' = 4 \:.\: 2 \:.\: \cos (2t - 10) = 8 \:.\: \cos (2t - 10) \)

\(\dfrac{d^2y}{dx^2} = y'' = 8 \:.\: -2 \:.\: \sin (2t - 10) = -16 \:.\: \sin (2t - 10) \)

Contoh 4

\(y = 2 \cos (3t + 20)\)

\(\dfrac{dy}{dx} = y' = 2 \:.\: -3 \:.\: \sin (7t + 30) = -6 \:.\: \sin (3t + 20)\)

\(\dfrac{d^2y}{dx^2} = y'' = -6 \:.\: 3 \:.\: \cos (3t + 20) = -18 \:.\: \cos (3t + 20) \)