What is the derivative of 2x^{3/2}+3 ?

The derivative of 2x^{3/2}+3 is 3x^{1/2}

What is the first derivative of 2x^{3/2}+3 ?

The first derivative of 2x^{3/2}+3 is 3x^{1/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

3 x^{\frac{1}{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3) = 0

= 3 x^{\frac{1}{2}} + 0

Simplify

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

What is the derivative of 2x^{3/2}+3 ?
The derivative of 2x^{3/2}+3 is 3x^{1/2}
What is the first derivative of 2x^{3/2}+3 ?
The first derivative of 2x^{3/2}+3 is 3x^{1/2}