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

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

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

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

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derivative of

\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

x \to 0 lim (\frac{1}{2 x ^{3}})

y = \frac{4 x ^{2} + 6 x}{3 x ^{3} + 2}

x \to \infty lim ((\frac{( e ^{x} - e ^{- x} )}{( e ^{x} + e ^{- x} )}) + 4)

\int (5 cos (x) - 4, x) d x

x \to \infty lim (\frac{2 - x}{x + 1} + \frac{2 ^{- x} \cdot x}{x + 2})

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