en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 4x^{5/4}+6x^{3/2}+9x

Solution

\frac{d}{d x} (4 x^{\frac{5}{4}} + 6 x^{\frac{3}{2}} + 9 x)

Solution

5 x^{\frac{1}{4}} + 9 x^{\frac{1}{2}} + 9

Solution steps

\frac{d}{d x} (4 x^{\frac{5}{4}} + 6 x^{\frac{3}{2}} + 9 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} (6 x^{\frac{3}{2}}) + \frac{d}{d x} (9 x)

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

\frac{d}{d x} (6 x^{\frac{3}{2}}) = 9 x^{\frac{1}{2}}

\frac{d}{d x} (9 x) = 9

= 5 x^{\frac{1}{4}} + 9 x^{\frac{1}{2}} + 9

Popular Examples

integral of x^2-y

\int x^{2} - y d y

limit as x approaches 0 of (x^2)/(2x)

x \to 0 lim (\frac{x ^{2}}{2 x})

integral from 0 to 1 of 2pi*2/3*x*2/3

\int_{0}^{1} 2 π \cdot \frac{2}{3} \cdot x \cdot \frac{2}{3} d x

derivative of ln(8x-5*7^{5x-2})

\frac{d}{d x} (ln (8 x - 5) \cdot 7^{5 x - 2})

slope of (-6,-3),(3,-6)slope

(- 6, - 3), (3, - 6)

Frequently Asked Questions (FAQ)

What is the derivative of 4x^{5/4}+6x^{3/2}+9x ?
The derivative of 4x^{5/4}+6x^{3/2}+9x is 5x^{1/4}+9x^{1/2}+9
What is the first derivative of 4x^{5/4}+6x^{3/2}+9x ?
The first derivative of 4x^{5/4}+6x^{3/2}+9x is 5x^{1/4}+9x^{1/2}+9