What is the derivative of (5sqrt(x))+(4-x^2) ?

The derivative of (5sqrt(x))+(4-x^2) is -2x+5/(2sqrt(x))

What is the first derivative of (5sqrt(x))+(4-x^2) ?

The first derivative of (5sqrt(x))+(4-x^2) is -2x+5/(2sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(5 x) + (4 - x^{2})

- 2 x + \frac{5}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5 x) = \frac{5}{2 x}

\frac{d}{d x} (4) = 0

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

= \frac{5}{2 x} + 0 - 2 x

Simplify

= - 2 x + \frac{5}{2 x}

\int x e^{8 x} d x

\frac{d}{d x} (8^{\frac{1}{3}})

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

x \to e lim (x (e^{x} + \frac{1}{x}))

x \to 0 lim (\frac{( 4 ^{x} - 2 ^{x} )}{x})

What is the derivative of (5sqrt(x))+(4-x^2) ?
The derivative of (5sqrt(x))+(4-x^2) is -2x+5/(2sqrt(x))
What is the first derivative of (5sqrt(x))+(4-x^2) ?
The first derivative of (5sqrt(x))+(4-x^2) is -2x+5/(2sqrt(x))