en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(x^2+36)

Solution

\frac{d}{d x} (x^{2} + 36)

Solution

\frac{x}{x ^{2} + 36}

Solution steps

\frac{d}{d x} (x^{2} + 36)

Apply the chain rule:

\frac{1}{2 x ^{2} + 36} \frac{d}{d x} (x^{2} + 36)

= \frac{1}{2 x ^{2} + 36} \frac{d}{d x} (x^{2} + 36)

\frac{d}{d x} (x^{2} + 36) = 2 x

= \frac{1}{2 x ^{2} + 36} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 36} \cdot 2 x : \frac{x}{x ^{2} + 36}

= \frac{x}{x ^{2} + 36}

Popular Examples

integral of (-3x+2)/(x^3+x^2-2)

\int \frac{- 3 x + 2}{x ^{3} + x ^{2} - 2} d x

integral of (3/(u^2)+4/(u^3)-2)

\int (\frac{3}{u ^{2}} + \frac{4}{u ^{3}} - 2) d u

y^{''}-4y^'=sin(3x)

y^{^{''}} - 4 y^{^{'}} = sin (3 x)

derivative of 7x^6-4x^5 derivative of

7 x^{6} - 4 x^{5}

integral of cos(2x)+sin(x)

\int cos (2 x) + sin (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2+36) ?
The derivative of sqrt(x^2+36) is x/(sqrt(x^2+36))
What is the first derivative of sqrt(x^2+36) ?
The first derivative of sqrt(x^2+36) is x/(sqrt(x^2+36))