What is the derivative of (x^2/4) ?

The derivative of (x^2/4) is x/2

What is the first derivative of (x^2/4) ?

The first derivative of (x^2/4) is x/2

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

\frac{x}{2}

Solution steps

\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}

\frac{sin ( x )}{x}

\int \frac{12}{x ^{4}} d x

arctan (\frac{x}{2})

\frac{d y}{d x} - 50 y = - y^{2}

\int_{2}^{x} \frac{1}{8} (x - 2) d x

What is the derivative of (x^2/4) ?
The derivative of (x^2/4) is x/2
What is the first derivative of (x^2/4) ?
The first derivative of (x^2/4) is x/2