derivative of (pix^2/2)

Lösung

\frac{d}{d x} (\frac{π x ^{2}}{2})

π x

Schritte zur Lösung

\frac{d}{d x} (\frac{π x ^{2}}{2})

Entferne die Konstante:

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

= \frac{π}{2} \frac{d}{d x} (x^{2})

Wende die Potenzregel an:

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

= \frac{π}{2} \cdot 2 x^{2 - 1}

Vereinfache

\frac{π}{2} \cdot 2 x^{2 - 1} : π x

= π x

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

\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}}

x \to 0 + lim (x + ∣ x ∣)