en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3sqrt(x-8)

Solution

\frac{d}{d x} (3 x - 8)

Solution

\frac{3}{2 x - 8}

Solution steps

\frac{d}{d x} (3 x - 8)

Take the constant out:

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

= 3 \frac{d}{d x} (x - 8)

Apply the chain rule:

\frac{1}{2 x - 8} \frac{d}{d x} (x - 8)

= \frac{1}{2 x - 8} \frac{d}{d x} (x - 8)

\frac{d}{d x} (x - 8) = 1

= 3 \cdot \frac{1}{2 x - 8} \cdot 1

Simplify

3 \cdot \frac{1}{2 x - 8} \cdot 1 : \frac{3}{2 x - 8}

= \frac{3}{2 x - 8}

Popular Examples

tangent of f(x)=(1+3x)^{10},\at x=0 tangent of

f (x) = (1 + 3 x)^{10}, at x = 0

limit as x approaches 2 of x^2+4x

x \to 2 lim (x^{2} + 4 x)

2y(dy)/(dx)+2=y^2+2x

2 y \frac{d y}{d x} + 2 = y^{2} + 2 x

derivative of (2x-2^3(3x-1)^2)

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

limit as x approaches 0+of (1-ln(x))/(e^{1/x)}

x \to 0 + lim (\frac{1 - ln ( x )}{e ^{\frac{1}{x}}})

Frequently Asked Questions (FAQ)

What is the derivative of 3sqrt(x-8) ?
The derivative of 3sqrt(x-8) is 3/(2sqrt(x-8))
What is the first derivative of 3sqrt(x-8) ?
The first derivative of 3sqrt(x-8) is 3/(2sqrt(x-8))