en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of 2sqrt(4-x^2)

Solution

\frac{d}{d x} (2 4 - x^{2})

Solution

- \frac{2 x}{4 - x ^{2}}

Solution steps

\frac{d}{d x} (2 4 - x^{2})

Take the constant out:

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

= 2 \frac{d}{d x} (4 - x^{2})

Apply the chain rule:

\frac{1}{2 4 - x ^{2}} \frac{d}{d x} (4 - x^{2})

= \frac{1}{2 4 - x ^{2}} \frac{d}{d x} (4 - x^{2})

\frac{d}{d x} (4 - x^{2}) = - 2 x

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

Simplify

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

= - \frac{2 x}{4 - x ^{2}}

Graph

Popular Examples

implicit (dy)/(dx),sqrt(x+y)+xy=21

im pl i c i t \frac{d y}{d x}, x + y + x y = 21

derivative of x^2cos(xy)

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

derivative of cos(7pix)

\frac{d}{d x} (cos (7 π x))

integral of sin^{1/2}(x)cos^3(x)

\int sin^{\frac{1}{2}} (x) cos^{3} (x) d x

limit as n approaches infinity of \sum_{i=1}^n(i^3)/(n^4)+1/n

n \to \infty lim (i = 1 \sum n \frac{i ^{3}}{n ^{4}} + \frac{1}{n})

Frequently Asked Questions (FAQ)

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