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Beliebt Rechnen >

derivative of (ax+b^5)

Lösung

\frac{d}{d x} ((a x + b)^{5})

Lösung

5 (a x + b)^{4} a

Schritte zur Lösung

\frac{d}{d x} ((a x + b)^{5})

Wende die Kettenregel an:

5 (a x + b)^{4} \frac{d}{d x} (a x + b)

= 5 (a x + b)^{4} \frac{d}{d x} (a x + b)

\frac{d}{d x} (a x + b) = a

= 5 (a x + b)^{4} a

Graph

Beliebte Beispiele

derivative y= 3/(ln(x))

d er i v a t i v e y = \frac{3}{ln ( x )}

3(d^2y)/(dx^2)+18(dy)/(dx)+24y=6sin(2x)

3 \frac{d ^{2} y}{d x ^{2}} + 18 \frac{d y}{d x} + 24 y = 6 sin (2 x)

integral of 12e^{6x}

\int 12 e^{6 x} d x

taylor 1/(3+2x)

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integral of (x^4+x^2)^8(4x^3+2x)

\int (x^{4} + x^{2})^{8} (4 x^{3} + 2 x) d x