en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 2sqrt(x-3)

Solution

derivative of

2 x - 3

Solution

\frac{1}{x - 3}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{x - 3}

Popular Examples

tangent of f(x)=sqrt(3x+4),\at x=4 tangent of

f (x) = 3 x + 4, at x = 4

tangent of f(x)=x^4-32x^2+256,\at (1,)tangent of

f (x) = x^{4} - 32 x^{2} + 256, at (1,)

integral of cos(θ)

\int cos (θ) d θ

integral of (sqrt(n))/(n+1)

\int \frac{n}{n + 1} d n

integral of (3sqrt(x)+(10)/(x^6))

\int (3 x + \frac{10}{x ^{6}}) d x

Frequently Asked Questions (FAQ)

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