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

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

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

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

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\frac{d}{d x} (\frac{π x ^{2}}{2})

π x

Solution steps

\frac{d}{d x} (\frac{π x ^{2}}{2})

Take the constant out:

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

= \frac{π}{2} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{π}{2} \cdot 2 x^{2 - 1}

Simplify

\frac{π}{2} \cdot 2 x^{2 - 1} : π x

= π x

\frac{d}{d x} ((1 + sin (x)) cos (x))

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

\int \frac{7 x ^{6} + 6}{x ^{7} + 6 x} d x

\int e^{10 x} - 9 d x

n = 3 \sum \infty \frac{2}{5 ^{n}}

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