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Beliebt Rechnen >

derivative of (3x^2+7x^4)

Lösung

\frac{d}{d x} ((3 x^{2} + 7 x)^{4})

Lösung

4 (3 x^{2} + 7 x)^{3} (6 x + 7)

Schritte zur Lösung

\frac{d}{d x} ((3 x^{2} + 7 x)^{4})

Wende die Kettenregel an:

4 (3 x^{2} + 7 x)^{3} \frac{d}{d x} (3 x^{2} + 7 x)

= 4 (3 x^{2} + 7 x)^{3} \frac{d}{d x} (3 x^{2} + 7 x)

\frac{d}{d x} (3 x^{2} + 7 x) = 6 x + 7

= 4 (3 x^{2} + 7 x)^{3} (6 x + 7)

Graph

Beliebte Beispiele

tangent f(x)=x^3-9x,\at x=3

t an g e n t f (x) = x^{3} - 9 x, at x = 3

integral of (1+1/x)^2 1/(x^2)

\int (1 + \frac{1}{x})^{2} \frac{1}{x ^{2}} d x

derivative of arccos(3x+1)

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

integral of 3^xx

\int 3^{x} x d x

derivative f(0)= x/(x^2+4)

d er i v a t i v e f (0) = \frac{x}{x ^{2} + 4}