What is the derivative of f(x)=(x^2-10x+25)/(x-5) ?

The derivative of f(x)=(x^2-10x+25)/(x-5) is 1

What is the first derivative of f(x)=(x^2-10x+25)/(x-5) ?

The first derivative of f(x)=(x^2-10x+25)/(x-5) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = \frac{x ^{2} - 10 x + 25}{x - 5}

1

Solution steps

\frac{d}{d x} (\frac{x ^{2} - 10 x + 25}{x - 5})

Simplify

\frac{x ^{2} - 10 x + 25}{x - 5} : x - 5

= \frac{d}{d x} (x - 5)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

= 1 - 0

Simplify

= 1

What is the derivative of f(x)=(x^2-10x+25)/(x-5) ?
The derivative of f(x)=(x^2-10x+25)/(x-5) is 1
What is the first derivative of f(x)=(x^2-10x+25)/(x-5) ?
The first derivative of f(x)=(x^2-10x+25)/(x-5) is 1