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Popular >

derivative of (-x^2/2)

Solution

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

Solution

- x

Solution steps

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

Simplify

\frac{- x ^{2}}{2} : - \frac{x ^{2}}{2}

= \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

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(\partial)/(\partial x)(cos(7x^2y-3xy^3))

\frac{\partial}{\partial x} (cos (7 x^{2} y - 3 x y^{3}))

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\int \frac{e ^{(a + 1) x}}{a} d x

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Frequently Asked Questions (FAQ)

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