What is the derivative of (6xh+3h^2)/h ?

The derivative of (6xh+3h^2)/h is 6

What is the first derivative of (6xh+3h^2)/h ?

The first derivative of (6xh+3h^2)/h is 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{6 x h + 3 h ^{2}}{h}

6

Solution steps

\frac{d}{d x} (\frac{6 x h + 3 h ^{2}}{h})

Simplify

\frac{6 x h + 3 h ^{2}}{h} : 3 (2 x + h)

= \frac{d}{d x} (3 (2 x + h))

Treat

h

as a constant

Take the constant out:

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

= 3 \frac{d}{d x} (2 x + h)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 3 (\frac{d}{d x} (2 x) + \frac{d h}{d x})

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

\frac{d h}{d x} = 0

= 3 (2 + 0)

Simplify

= 6

What is the derivative of (6xh+3h^2)/h ?
The derivative of (6xh+3h^2)/h is 6
What is the first derivative of (6xh+3h^2)/h ?
The first derivative of (6xh+3h^2)/h is 6