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

The derivative of f(4)=4x^{5/4}+4x^{3/2}+5x is 5x^{1/4}+6x^{1/2}+5

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

The first derivative of f(4)=4x^{5/4}+4x^{3/2}+5x is 5x^{1/4}+6x^{1/2}+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

5 x^{\frac{1}{4}} + 6 x^{\frac{1}{2}} + 5

Solution steps

\frac{d}{d x} (4 x^{\frac{5}{4}} + 4 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} (4 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} (4 x^{\frac{3}{2}}) = 6 x^{\frac{1}{2}}

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

= 5 x^{\frac{1}{4}} + 6 x^{\frac{1}{2}} + 5

ln (9 x)

f (x) = x - 1, (5, 2)

n = 0 \sum \infty \frac{n ^{2}}{3 ^{n}}

e^{x} + 1

\int 9 x^{- 4} d x

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