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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d x}{d x} = 1

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

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

\int \frac{s \cdot ln ( s )}{( 1 - s ^{2} ) ^{\frac{1}{2}}} d s

\frac{d}{d x} (ln (x^{2} + y^{2} + z^{2}))

\frac{\partial}{\partial x} (x^{5} + y^{5})

\frac{\partial}{\partial x} ((x y)^{0.5})

y^{^{'}} + sin (t) y = - sin (t), y (0) = 3

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