What is (\partial}{\partial x}(\frac{x^2)/2) ?

The answer to (\partial}{\partial x}(\frac{x^2)/2) is x

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(\partial}{\partial x}(\frac{x^2)/2)

\frac{\partial}{\partial x} (\frac{x ^{2}}{2})

x

Solution steps

\frac{\partial}{\partial x} (\frac{x ^{2}}{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{2} \frac{\partial}{\partial 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} ((x + 1)^{3})

\int_{0}^{1} \frac{61}{x ^{5}} d x

\int_{- 1}^{1} (3 x^{2} + 1)^{2} d x

\int \frac{- 4}{x ^{2}} d x

y = \frac{2 x - 3}{4 x + 1}

What is (\partial}{\partial x}(\frac{x^2)/2) ?
The answer to (\partial}{\partial x}(\frac{x^2)/2) is x