What is the derivative of sqrt(x^2+15) ?

The derivative of sqrt(x^2+15) is x/(sqrt(x^2+15))

What is the first derivative of sqrt(x^2+15) ?

The first derivative of sqrt(x^2+15) is x/(sqrt(x^2+15))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (x^{2} + 15)

\frac{x}{x ^{2} + 15}

Solution steps

\frac{d}{d x} (x^{2} + 15)

Apply the chain rule:

\frac{1}{2 x ^{2} + 15} \frac{d}{d x} (x^{2} + 15)

= \frac{1}{2 x ^{2} + 15} \frac{d}{d x} (x^{2} + 15)

\frac{d}{d x} (x^{2} + 15) = 2 x

= \frac{1}{2 x ^{2} + 15} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 15} \cdot 2 x : \frac{x}{x ^{2} + 15}

= \frac{x}{x ^{2} + 15}

x \to - 2 lim (- 7)

\int (4 x + 3) (2 x^{2} + 3 x) d x

d er i v a t i v e (x + 1)^{2} (x^{2} + 1)^{- 3}

x \to 0 + lim (\frac{x - 2}{∣ x ∣})

d er i v a t i v e T

What is the derivative of sqrt(x^2+15) ?
The derivative of sqrt(x^2+15) is x/(sqrt(x^2+15))
What is the first derivative of sqrt(x^2+15) ?
The first derivative of sqrt(x^2+15) is x/(sqrt(x^2+15))