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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = 3 - 4 x

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

Solution steps

\frac{d}{d x} (3 - 4 x)

Apply the chain rule:

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

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

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

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

Simplify

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

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

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