What is the derivative of y= 1/2 x^2 ?

The derivative of y= 1/2 x^2 is x

What is the first derivative of y= 1/2 x^2 ?

The first derivative of y= 1/2 x^2 is x

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derivative of

y = \frac{1}{2} x^{2}

x

Solution steps

\frac{d}{d x} (\frac{1}{2} x^{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

\frac{d}{d x} (a sin (b x))

\frac{d}{d x} (\frac{x}{1 - ln ( x - 7 )})

\int \frac{1}{x cos ( ln ( x ) )} d x

x \to - 2 + lim (\frac{x ^{2}}{x + 2})

\frac{\partial}{\partial x} (x (20 - 2 x) (16 - 2 x))

What is the derivative of y= 1/2 x^2 ?
The derivative of y= 1/2 x^2 is x
What is the first derivative of y= 1/2 x^2 ?
The first derivative of y= 1/2 x^2 is x