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

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

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

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

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derivative of

f (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{d}{d x} (x^{2} + x - 2)

x \to 5 lim (\frac{x}{0})

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

\int \frac{1}{x ^{2} - 4 x + 6} d x

\frac{d y}{d x} = 2 (2 x + y)^{2}

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