What is the d/(dt)(sin(t)(1-sin(t))) ?

The d/(dt)(sin(t)(1-sin(t))) is cos(t)-sin(2t)

What is the first d/(dt)(sin(t)(1-sin(t))) ?

The first d/(dt)(sin(t)(1-sin(t))) is cos(t)-sin(2t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d t} (sin (t) (1 - sin (t)))

cos (t) - sin (2 t)

Solution steps

\frac{d}{d t} (sin (t) (1 - sin (t)))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sin (t), g = 1 - sin (t)

= \frac{d}{d t} (sin (t)) (1 - sin (t)) + \frac{d}{d t} (1 - sin (t)) sin (t)

\frac{d}{d t} (sin (t)) = cos (t)

\frac{d}{d t} (1 - sin (t)) = - cos (t)

= cos (t) (1 - sin (t)) + (- cos (t)) sin (t)

Simplify

cos (t) (1 - sin (t)) + (- cos (t)) sin (t) : cos (t) - sin (2 t)

= cos (t) - sin (2 t)

\frac{d y}{d x} + 2 = x

x \to 0 lim (+ sin (x) ln (x))

x \to 0 lim (x^{2} cos (\frac{1}{2}))

\frac{d}{d x} (4 cos (x) - e^{2 x})

sin^{2} (x)

What is the d/(dt)(sin(t)(1-sin(t))) ?
The d/(dt)(sin(t)(1-sin(t))) is cos(t)-sin(2t)
What is the first d/(dt)(sin(t)(1-sin(t))) ?
The first d/(dt)(sin(t)(1-sin(t))) is cos(t)-sin(2t)