What is the derivative of 4x^{5/4}+2x^{3/2}+5x ?

The derivative of 4x^{5/4}+2x^{3/2}+5x is 5x^{1/4}+3x^{1/2}+5

What is the first derivative of 4x^{5/4}+2x^{3/2}+5x ?

The first derivative of 4x^{5/4}+2x^{3/2}+5x is 5x^{1/4}+3x^{1/2}+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (4 x^{\frac{5}{4}} + 2 x^{\frac{3}{2}} + 5 x)

5 x^{\frac{1}{4}} + 3 x^{\frac{1}{2}} + 5

Solution steps

\frac{d}{d x} (4 x^{\frac{5}{4}} + 2 x^{\frac{3}{2}} + 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{\frac{5}{4}}) + \frac{d}{d x} (2 x^{\frac{3}{2}}) + \frac{d}{d x} (5 x)

\frac{d}{d x} (4 x^{\frac{5}{4}}) = 5 x^{\frac{1}{4}}

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

\frac{d}{d x} (5 x) = 5

= 5 x^{\frac{1}{4}} + 3 x^{\frac{1}{2}} + 5

15000 e^{- 0.6 x}

x \to 2 - lim (5 x^{3} - \frac{2}{x - 2})

9

\int_{- 6}^{6} \frac{1}{v} d v

y = ln (2^{3})

What is the derivative of 4x^{5/4}+2x^{3/2}+5x ?
The derivative of 4x^{5/4}+2x^{3/2}+5x is 5x^{1/4}+3x^{1/2}+5
What is the first derivative of 4x^{5/4}+2x^{3/2}+5x ?
The first derivative of 4x^{5/4}+2x^{3/2}+5x is 5x^{1/4}+3x^{1/2}+5