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

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derivative of

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

x

Solution steps

\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

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