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Beliebt Rechnen >

derivative of (1+3x^5)

Lösung

\frac{d}{d x} ((1 + 3 x)^{5})

Lösung

15 (1 + 3 x)^{4}

Schritte zur Lösung

\frac{d}{d x} ((1 + 3 x)^{5})

Wende die Kettenregel an:

5 (1 + 3 x)^{4} \frac{d}{d x} (1 + 3 x)

= 5 (1 + 3 x)^{4} \frac{d}{d x} (1 + 3 x)

\frac{d}{d x} (1 + 3 x) = 3

= 5 (1 + 3 x)^{4} \cdot 3

Vereinfache

= 15 (1 + 3 x)^{4}

Graph

Beliebte Beispiele

integral of 1/(X^2)

\int \frac{1}{X ^{2}} d X

integral of (5x^2-12)/((x^2-6x+13)^2)

\int \frac{5 x ^{2} - 12}{( x ^{2} - 6 x + 13 ) ^{2}} d x

integral of (4x)/(x^3-x^2-x+1)

\int \frac{4 x}{x ^{3} - x ^{2} - x + 1} d x

im pl i c i t y x = c

derivative of 4/(2x+5)

\frac{d}{d x} (\frac{4}{2 x + 5})