What is the derivative of y=(-x^2)/2 ?

The derivative of y=(-x^2)/2 is -x

What is the first derivative of y=(-x^2)/2 ?

The first derivative of y=(-x^2)/2 is -x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

- x

Solution steps

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

Simplify

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

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - x

(2 x^{2})^{- 1}

\frac{d}{d a} (\frac{a}{b - 3})

\frac{tan ( x )}{( x + 3 )}

\frac{d}{d x} (5 cos (x) + ln (x))

100 + 5 q^{2}

What is the derivative of y=(-x^2)/2 ?
The derivative of y=(-x^2)/2 is -x
What is the first derivative of y=(-x^2)/2 ?
The first derivative of y=(-x^2)/2 is -x