What is the derivative of sin(7x)sin(2x) ?

The derivative of sin(7x)sin(2x) is cos(7x)*7sin(2x)+cos(2x)*2sin(7x)

What is the first derivative of sin(7x)sin(2x) ?

The first derivative of sin(7x)sin(2x) is cos(7x)*7sin(2x)+cos(2x)*2sin(7x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

sin (7 x) sin (2 x)

cos (7 x) \cdot 7 sin (2 x) + cos (2 x) \cdot 2 sin (7 x)

Solution steps

\frac{d}{d x} (sin (7 x) sin (2 x))

Apply the Product Rule:

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

f = sin (7 x), g = sin (2 x)

= \frac{d}{d x} (sin (7 x)) sin (2 x) + \frac{d}{d x} (sin (2 x)) sin (7 x)

\frac{d}{d x} (sin (7 x)) = cos (7 x) \cdot 7

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= cos (7 x) \cdot 7 sin (2 x) + cos (2 x) \cdot 2 sin (7 x)

What is the derivative of sin(7x)sin(2x) ?
The derivative of sin(7x)sin(2x) is cos(7x)*7sin(2x)+cos(2x)*2sin(7x)
What is the first derivative of sin(7x)sin(2x) ?
The first derivative of sin(7x)sin(2x) is cos(7x)*7sin(2x)+cos(2x)*2sin(7x)