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Beliebt Rechnen >

derivative f(x)=(2x^3+3)^6

Lösung

ableitung von

f (x) = (2 x^{3} + 3)^{6}

Lösung

36 x^{2} (2 x^{3} + 3)^{5}

Schritte zur Lösung

\frac{d}{d x} ((2 x^{3} + 3)^{6})

Wende die Kettenregel an:

6 (2 x^{3} + 3)^{5} \frac{d}{d x} (2 x^{3} + 3)

= 6 (2 x^{3} + 3)^{5} \frac{d}{d x} (2 x^{3} + 3)

\frac{d}{d x} (2 x^{3} + 3) = 6 x^{2}

= 6 (2 x^{3} + 3)^{5} \cdot 6 x^{2}

Vereinfache

= 36 x^{2} (2 x^{3} + 3)^{5}

Graph

Beliebte Beispiele

t an g e n t - 2 x^{2}

integral of 9x^2-8x

\int 9 x^{2} - 8 x d x

integral of 3/(sqrt(1+9x^2))

\int \frac{3}{1 + 9 x ^{2}} d x

integral of (sqrt(y^2-4))/y

\int \frac{y ^{2} - 4}{y} d y

derivative of (x^5-8x^3+x+6/x)

\frac{d}{d x} (\frac{x ^{5} - 8 x ^{3} + x + 6}{x})