What is the derivative of f(x)=sqrt(x^2-4x+3) ?

The derivative of f(x)=sqrt(x^2-4x+3) is (x-2)/(sqrt(x^2-4x+3))

What is the first derivative of f(x)=sqrt(x^2-4x+3) ?

The first derivative of f(x)=sqrt(x^2-4x+3) is (x-2)/(sqrt(x^2-4x+3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = x^{2} - 4 x + 3

\frac{x - 2}{x ^{2} - 4 x + 3}

Solution steps

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

Apply the chain rule:

\frac{1}{2 x ^{2} - 4 x + 3} \frac{d}{d x} (x^{2} - 4 x + 3)

= \frac{1}{2 x ^{2} - 4 x + 3} \frac{d}{d x} (x^{2} - 4 x + 3)

\frac{d}{d x} (x^{2} - 4 x + 3) = 2 x - 4

= \frac{1}{2 x ^{2} - 4 x + 3} (2 x - 4)

Simplify

\frac{1}{2 x ^{2} - 4 x + 3} (2 x - 4) : \frac{x - 2}{x ^{2} - 4 x + 3}

= \frac{x - 2}{x ^{2} - 4 x + 3}

What is the derivative of f(x)=sqrt(x^2-4x+3) ?
The derivative of f(x)=sqrt(x^2-4x+3) is (x-2)/(sqrt(x^2-4x+3))
What is the first derivative of f(x)=sqrt(x^2-4x+3) ?
The first derivative of f(x)=sqrt(x^2-4x+3) is (x-2)/(sqrt(x^2-4x+3))