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Beliebt Rechnen >

f^'(x)=sin(4)(4x^5)

Lösung

f^{^{'}} (x) = sin (4) (4 x^{5})

Lösung

f (x) = \frac{2}{3} sin (4) x^{6} + c_{1}

Schritte zur Lösung

f^{'} (x) = sin (4) (4 x^{5})

Wenn

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

dann

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

f (x) = \int sin (4) \cdot 4 x^{5} d x

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

f (x) = \frac{2}{3} sin (4) x^{6} + c_{1}

Beliebte Beispiele

derivative 9(x-4)^{2/3}

d er i v a t i v e 9 (x - 4)^{\frac{2}{3}}

derivative of 210

\frac{d}{d x} (210)

derivative of (e^{-x^2}/(x^3))

\frac{d}{d x} (\frac{e ^{- x^{2}}}{x ^{3}})

derivative ln(6-x^2+2x^4)

d er i v a t i v e ln (6 - x^{2} + 2 x^{4})

integral from 1 to infinity of 7/(x^2+1)

\int_{1}^{\infty} \frac{7}{x ^{2} + 1} d x