What is the derivative of (1+2cos(x)sin(x)) ?

The derivative of (1+2cos(x)sin(x)) is -2sin^2(x)+cos(x)(1+2cos(x))

What is the first derivative of (1+2cos(x)sin(x)) ?

The first derivative of (1+2cos(x)sin(x)) is -2sin^2(x)+cos(x)(1+2cos(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((1 + 2 cos (x)) sin (x))

- 2 sin^{2} (x) + cos (x) (1 + 2 cos (x))

Solution steps

\frac{d}{d x} ((1 + 2 cos (x)) sin (x))

Apply the Product Rule:

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

f = 1 + 2 cos (x), g = sin (x)

= \frac{d}{d x} (1 + 2 cos (x)) sin (x) + \frac{d}{d x} (sin (x)) (1 + 2 cos (x))

\frac{d}{d x} (1 + 2 cos (x)) = - 2 sin (x)

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

= (- 2 sin (x)) sin (x) + cos (x) (1 + 2 cos (x))

Simplify

(- 2 sin (x)) sin (x) + cos (x) (1 + 2 cos (x)) : - 2 sin^{2} (x) + cos (x) (1 + 2 cos (x))

= - 2 sin^{2} (x) + cos (x) (1 + 2 cos (x))

\frac{\partial}{\partial y} (sin (y) cos (x))

n = 0 \sum \infty \frac{2 ^{n}}{n ^{2}}

f (x) = \frac{2}{3} x - 6

\int \frac{6}{x ^{2} x ^{2} + 36} d x

\int_{1}^{8} 3 x^{2} + \frac{1}{12 x ^{2}} d x

What is the derivative of (1+2cos(x)sin(x)) ?
The derivative of (1+2cos(x)sin(x)) is -2sin^2(x)+cos(x)(1+2cos(x))
What is the first derivative of (1+2cos(x)sin(x)) ?
The first derivative of (1+2cos(x)sin(x)) is -2sin^2(x)+cos(x)(1+2cos(x))