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Beliebt Rechnen >

derivative 1/3 pir^2h

Lösung

ableitung von

\frac{1}{3} π r^{2} h

Lösung

\frac{2 πh r}{3}

Schritte zur Lösung

\frac{d}{d r} (\frac{1}{3} π r^{2} h)

Entferne die Konstante:

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

= \frac{1}{3} πh \frac{d}{d 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}

Graph

Beliebte Beispiele

integral from 0 to sqrt(3 of)sqrt(x^2+9)

\int_{0}^{3} x^{2} + 9 d x

derivative of 1/(4x^2)

\frac{d}{d x} (\frac{1}{4 x ^{2}})

derivative of (x^2-3/(x^2+1))

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

integral from 1 to 5 of t^3ln(4t)

\int_{1}^{5} t^{3} ln (4 t) d t

integral of (x-1)/(x^2-2x+3)

\int \frac{x - 1}{x ^{2} - 2 x + 3} d x