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Beliebt Rechnen >

f^'(x)=x^4(x-2)(x+3)

Lösung

f^{^{'}} (x) = x^{4} (x - 2) (x + 3)

Lösung

f (x) = \frac{x ^{7}}{7} + \frac{x ^{6}}{6} - \frac{6 x ^{5}}{5} + c_{1}

Schritte zur Lösung

f^{'} (x) = x^{4} (x - 2) (x + 3)

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (x) = \int x^{4} (x - 2) (x + 3) d x

\int x^{4} (x - 2) (x + 3) d x = \frac{x ^{7}}{7} + \frac{x ^{6}}{6} - \frac{6 x ^{5}}{5} + c_{1}

f (x) = \frac{x ^{7}}{7} + \frac{x ^{6}}{6} - \frac{6 x ^{5}}{5} + c_{1}

Graph

Beliebte Beispiele

integral of 10sqrt(x)+sqrt(11)

\int 10 x + 11 d x

integral of x^2|8x^3+1|

\int x^{2} 8 x^{3} + 1 d x

derivative of 2sec(x-7x)

\frac{d}{d x} (2 sec (x) - 7 x)

steigung (-2,-3),(4,6)

s l o p e (- 2, - 3), (4, 6)

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

\int \frac{1}{a ^{2} + x ^{2}} d x