(\partial)/(\partial r)(1/3 pir^2h)

Lösung

\frac{\partial}{\partial r} (\frac{1}{3} π r^{2} h)

\frac{2 πh r}{3}

Schritte zur Lösung

\frac{\partial}{\partial r} (\frac{1}{3} π r^{2} h)

Entferne die Konstante:

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

= \frac{1}{3} πh \frac{\partial}{\partial r} (r^{2})

Wende die Potenzregel an:

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

= \frac{1}{3} πh \cdot 2 r^{2 - 1}

Vereinfache

\frac{1}{3} πh \cdot 2 r^{2 - 1} : \frac{2 πh r}{3}

= \frac{2 πh r}{3}

d er i v a t i v e f (x) = \frac{( 5 x - 2 )}{( x ^{2} + 1 )}

\int_{0}^{\frac{π}{8}} sec^{2} (2 x) d x

\int_{0}^{\frac{π}{6}} 1

x \to 0 - lim (x^{s i n (x)})

d er i v a t i v e y = (1 + x)^{3}