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

The derivative of f(x)=-sqrt(x) is -1/(2sqrt(x))

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

The first derivative of f(x)=-sqrt(x) is -1/(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) = - x

- \frac{1}{2 x}

Solution steps

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

Take the constant out:

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

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

Apply radical rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{1}{2 x}

ln (\frac{x}{2}), 2

\int_{0}^{2} \frac{1}{( x ^{2} + 4 ) ^{2}} d x

\int (x^{2} - 3 x + 2) d x

x \to 0 lim (x^{2} \cdot e^{\frac{1}{x}})

What is the derivative of f(x)=-sqrt(x) ?
The derivative of f(x)=-sqrt(x) is -1/(2sqrt(x))
What is the first derivative of f(x)=-sqrt(x) ?
The first derivative of f(x)=-sqrt(x) is -1/(2sqrt(x))