en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 1/2 sin(2x)

Solution

derivative of

\frac{1}{2} sin (2 x)

Solution

cos (2 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2} cos (2 x) \cdot 2 : cos (2 x)

= cos (2 x)

Popular Examples

integral from-infinity to 12 of xe^{x/3}

\int_{- \infty}^{12} x e^{\frac{x}{3}} d x

integral from-2 to 2 of (x+7)sqrt(4-x^2)

\int_{- 2}^{2} (x + 7) 4 - x^{2} d x

limit as x approaches 0 of (csc(x))/(3x)

x \to 0 lim (\frac{csc ( x )}{3 x})

(\partial)/(\partial y)(x/y+y/z)

\frac{\partial}{\partial y} (\frac{x}{y} + \frac{y}{z})

(\partial)/(\partial z)(x^2y+yz^3+z^5x)

\frac{\partial}{\partial z} (x^{2} y + y z^{3} + z^{5} x)

Frequently Asked Questions (FAQ)

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