What is the derivative of sqrt(x^2-3x+12) ?

The derivative of sqrt(x^2-3x+12) is (2x-3)/(2sqrt(x^2-3x+12))

What is the first derivative of sqrt(x^2-3x+12) ?

The first derivative of sqrt(x^2-3x+12) is (2x-3)/(2sqrt(x^2-3x+12))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (x^{2} - 3 x + 12)

\frac{2 x - 3}{2 x ^{2} - 3 x + 12}

Solution steps

\frac{d}{d x} (x^{2} - 3 x + 12)

Apply the chain rule:

\frac{1}{2 x ^{2} - 3 x + 12} \frac{d}{d x} (x^{2} - 3 x + 12)

= \frac{1}{2 x ^{2} - 3 x + 12} \frac{d}{d x} (x^{2} - 3 x + 12)

\frac{d}{d x} (x^{2} - 3 x + 12) = 2 x - 3

= \frac{1}{2 x ^{2} - 3 x + 12} (2 x - 3)

Simplify

\frac{1}{2 x ^{2} - 3 x + 12} (2 x - 3) : \frac{2 x - 3}{2 x ^{2} - 3 x + 12}

= \frac{2 x - 3}{2 x ^{2} - 3 x + 12}

What is the derivative of sqrt(x^2-3x+12) ?
The derivative of sqrt(x^2-3x+12) is (2x-3)/(2sqrt(x^2-3x+12))
What is the first derivative of sqrt(x^2-3x+12) ?
The first derivative of sqrt(x^2-3x+12) is (2x-3)/(2sqrt(x^2-3x+12))