What is the derivative of f(x)=9sqrt(x) ?

The derivative of f(x)=9sqrt(x) is 9/(2sqrt(x))

What is the first derivative of f(x)=9sqrt(x) ?

The first derivative of f(x)=9sqrt(x) is 9/(2sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 9 x

\frac{9}{2 x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 9 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

9 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{9}{2 x}

= \frac{9}{2 x}

n \to \infty lim (n^{n})

\frac{d}{d x} (8 x + 2)

\int 2^{2 x} d x

\frac{d}{d x} (- \frac{24}{x ^{4}})

y = x (x^{2} - 10 x + 30), y = x^{2}

What is the derivative of f(x)=9sqrt(x) ?
The derivative of f(x)=9sqrt(x) is 9/(2sqrt(x))
What is the first derivative of f(x)=9sqrt(x) ?
The first derivative of f(x)=9sqrt(x) is 9/(2sqrt(x))