en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-(sqrt(1-x)/2)

Solution

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

Solution

\frac{1}{4 1 - x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (1 - x) = - 1

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

Simplify

- \frac{1}{2} \cdot \frac{1}{2 1 - x} (- 1) : \frac{1}{4 1 - x}

= \frac{1}{4 1 - x}

Popular Examples

tangent of 8e^x+x tangent of

8 e^{x} + x

limit as x approaches-1 of x/(1-x^4)

x \to - 1 lim (\frac{x}{1 - x ^{4}})

integral from 0 to 1 of (1+r)^3

\int_{0}^{1} (1 + r)^{3} d r

inverse oflaplace s*+5 inverse laplace

s \cdot + 5

limit as x approaches 2 of (x-1)/(x^2-1)

x \to 2 lim (\frac{x - 1}{x ^{2} - 1})

Frequently Asked Questions (FAQ)

What is the derivative of-(sqrt(1-x)/2) ?
The derivative of-(sqrt(1-x)/2) is 1/(4sqrt(1-x))
What is the first derivative of-(sqrt(1-x)/2) ?
The first derivative of-(sqrt(1-x)/2) is 1/(4sqrt(1-x))