What is the derivative of f(x)=-1/4 x^2 ?

The derivative of f(x)=-1/4 x^2 is -x/2

What is the first derivative of f(x)=-1/4 x^2 ?

The first derivative of f(x)=-1/4 x^2 is -x/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = - \frac{1}{4} x^{2}

- \frac{x}{2}

Solution steps

\frac{d}{d x} (- \frac{1}{4} x^{2})

Simplify

- \frac{1}{4} x^{2} : - \frac{x ^{2}}{4}

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

Take the constant out:

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

= - \frac{1}{4} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - \frac{1}{4} \cdot 2 x^{2 - 1}

Simplify

- \frac{1}{4} \cdot 2 x^{2 - 1} : - \frac{x}{2}

= - \frac{x}{2}

f^{^{'}} (x) = \frac{x}{4}

\int 121 - t^{2} d t

f (x) = x^{2} - 5, at x = - 4

\int 2 y d y

\int_{0}^{7} (9 x - x^{2}) - (2 x) d x

What is the derivative of f(x)=-1/4 x^2 ?
The derivative of f(x)=-1/4 x^2 is -x/2
What is the first derivative of f(x)=-1/4 x^2 ?
The first derivative of f(x)=-1/4 x^2 is -x/2