en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=3sqrt(x-1)

Solution

derivative of

f (x) = 3 x - 1

Solution

\frac{3}{2 x - 1}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

= 3 \cdot \frac{1}{2 x - 1} \cdot 1

Simplify

3 \cdot \frac{1}{2 x - 1} \cdot 1 : \frac{3}{2 x - 1}

= \frac{3}{2 x - 1}

Popular Examples

(d^4)/(dx^4)(19e^{x^2})

\frac{d ^{4}}{d x ^{4}} (19 e^{x^{2}})

derivative of xsqrt(a^2-x^2)

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

integral of 1/(sqrt(-x^2-10x-24))

\int \frac{1}{- x ^{2} - 10 x - 24} d x

limit as x approaches 3 of |1-x-x^2|

x \to 3 lim (1 - x - x^{2})

derivative of 1/(2sqrt(x)+1/(9x^{8/9)})

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{9 x ^{\frac{8}{9}}})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=3sqrt(x-1) ?
The derivative of f(x)=3sqrt(x-1) is 3/(2sqrt(x-1))
What is the first derivative of f(x)=3sqrt(x-1) ?
The first derivative of f(x)=3sqrt(x-1) is 3/(2sqrt(x-1))