What is the derivative of sqrt(2x^2-1) ?

The derivative of sqrt(2x^2-1) is (2x)/(sqrt(2x^2-1))

What is the first derivative of sqrt(2x^2-1) ?

The first derivative of sqrt(2x^2-1) is (2x)/(sqrt(2x^2-1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

2 x^{2} - 1

\frac{2 x}{2 x ^{2} - 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2 x}{2 x ^{2} - 1}

v = 60 (1 - e^{- 0.2 t})

x \to 1 - lim (ln (x - 1))

\frac{d}{d x} (\frac{9}{( x - 6 ) ^{\frac{4}{3}}})

\int 10 5 x^{2} - 1 d x

\frac{d}{d x} (\frac{2 - \frac{1}{x}}{x - 3})

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