d/(dy)((y^2)/2)

Solution

\frac{d}{d y} (\frac{y ^{2}}{2})

y

Solution steps

\frac{d}{d y} (\frac{y ^{2}}{2})

Take the constant out:

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

= \frac{1}{2} \frac{d}{d y} (y^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{2} \cdot 2 y^{2 - 1}

Simplify

\frac{1}{2} \cdot 2 y^{2 - 1} : y

= y

\frac{\partial}{\partial x} (cos (x^{2} + y^{2}))

\frac{d}{d x} (\frac{x}{4} (1 + ln (\frac{4}{x})))

\int (5 + x^{4}) sin (\frac{1}{2} x) d x

\int_{2}^{e^{5}} \frac{1}{x} d x

\int cos^{5} (x s i) n^{2} x d x