en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 2sqrt(cos(2x))

Solution

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

Solution

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Popular Examples

derivative of 4/x+5/(x^2)

\frac{d}{d x} (\frac{4}{x} + \frac{5}{x ^{2}})

(\partial)/(\partial x)(1+xln(xy-7))

\frac{\partial}{\partial x} (1 + x ln (x y - 7))

(dx)/(dt)=30-(3x)/(100)

\frac{d x}{d t} = 30 - \frac{3 x}{100}

limit as x approaches 2 of 3*6+6.6

x \to 2 lim (3 \cdot 6 + 6.6)

derivative of e^{\sqrt[3]{5x}}

Frequently Asked Questions (FAQ)

What is the derivative of 2sqrt(cos(2x)) ?
The derivative of 2sqrt(cos(2x)) is 2*1/(2sqrt(cos(2x)))(-sin(2x)*2)
What is the first derivative of 2sqrt(cos(2x)) ?
The first derivative of 2sqrt(cos(2x)) is 2*1/(2sqrt(cos(2x)))(-sin(2x)*2)