# Turunan Trigonometri

### Turunan Trigonometri

 NO FUNGSI TURUNAN 1 $$y = \sin x$$ $$\dfrac{dy}{dx} = y' = \cos x$$ 2 $$y = \cos x$$ $$\dfrac{dy}{dx} = y' = -\sin x$$ 3 $$y = \sin (ax + b)$$ $$\dfrac{dy}{dx} = y' = a \:.\: \cos (ax + b)$$ 4 $$y = \cos (ax + b)$$ $$\dfrac{dy}{dx} = y' = -a \:.\: \sin (ax + b)$$

Contoh 01

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

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

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

Contoh 02

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

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

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

Contoh 03

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

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

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

Contoh 04

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

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

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