en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(2+2cos(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

area 29-11x,1-x^2 area

29 - 11 x, 1 - x^{2}

derivative of \sqrt[7]{x}-8/x

(d^2y)/(dx^2)+5(dy)/(dx)+6y=2e^x

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 2 e^{x}

derivative of y=x^{3cos(x)}derivative of

y = x^{3 c o s (x)}

integral of sqrt(x^5)

\int x^{5} d x

Frequently Asked Questions (FAQ)

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