What is the d/(dt)(sin(t)cos(t)) ?

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

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

The first d/(dt)(sin(t)cos(t)) is cos(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) cos (t))

cos (2 t)

Solution steps

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

Apply the Product Rule:

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

f = sin (t), g = cos (t)

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

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

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

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

Simplify

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

= cos (2 t)

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

\int sin (3 x) sec^{2} (3 x) d x

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

\frac{\partial}{\partial y} (\frac{x y ^{2}}{x + y})

sec (4 x)

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