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Beliebt Rechnen >

(\partial)/(\partial x)(8x^2cos(5)x^3)

Lösung

\frac{\partial}{\partial x} (8 x^{2} cos (5) x^{3})

Lösung

40 cos (5) x^{4}

Schritte zur Lösung

\frac{\partial}{\partial x} (8 x^{2} cos (5) x^{3})

Vereinfache

8 x^{2} cos (5) x^{3} : 8 cos (5) x^{5}

= \frac{\partial}{\partial x} (8 cos (5) x^{5})

Entferne die Konstante:

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

= 8 cos (5) \frac{\partial}{\partial x} (x^{5})

Wende die Potenzregel an:

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

= 8 cos (5) \cdot 5 x^{5 - 1}

Vereinfache

= 40 cos (5) x^{4}

Beliebte Beispiele

derivative of (ln(x)/(e^x))

\frac{d}{d x} (\frac{ln ( x )}{e ^{x}})

integral from 0 to 2 of 1/(sqrt(9-x^2))

\int_{0}^{2} \frac{1}{9 - x ^{2}} d x

derivative f(x)=3x^4

d er i v a t i v e f (x) = 3 x^{4}

limit as x approaches 7 of (x^2-4)/(7-x)

x \to 7 lim (\frac{x ^{2} - 4}{7 - x})

integral of arctan(5t)

\int arctan (5 t) d t