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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

1

Solution steps

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

Simplify

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

= \frac{d}{d x} (x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= 1 + 0

Simplify

= 1

x \to 0 lim (\frac{6 e ^{x} - 6}{x})

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

\frac{d}{d x} (cos (4 x) + sin (4 x))

10 y^{^{''}} + 1000 y = 0

\frac{\partial}{\partial u} (2 sin (u) cos (v))

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