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Beliebt Rechnen >

derivative of (5x+8^3)

Lösung

\frac{d}{d x} ((5 x + 8)^{3})

Lösung

15 (5 x + 8)^{2}

Schritte zur Lösung

\frac{d}{d x} ((5 x + 8)^{3})

Wende die Kettenregel an:

3 (5 x + 8)^{2} \frac{d}{d x} (5 x + 8)

= 3 (5 x + 8)^{2} \frac{d}{d x} (5 x + 8)

\frac{d}{d x} (5 x + 8) = 5

= 3 (5 x + 8)^{2} \cdot 5

Vereinfache

= 15 (5 x + 8)^{2}

Graph

Beliebte Beispiele

derivative of ((x-7/(x+2))^2)

\frac{d}{d x} ((\frac{x - 7}{x + 2})^{2})

taylor x^{1/3},1000

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derivative y=(x^x+1)^2

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integral of 3x^2(x^3+5)^7

\int 3 x^{2} (x^{3} + 5)^{7} d x

integral of (x-5)/((x+4)(x+3)^2)

\int \frac{x - 5}{( x + 4 ) ( x + 3 ) ^{2}} d x