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Beliebt Rechnen >

(dy)/(dx)=x^8e^{x^9}

Lösung

\frac{d y}{d x} = x^{8} e^{x^{9}}

Lösung

y = \frac{1}{9} e^{x^{9}} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = x^{8} e^{x^{9}}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = x^{8} e^{x^{9}}

Wenn

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

dann

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

y = \int x^{8} e^{x^{9}} d x

\int x^{8} e^{x^{9}} d x = \frac{1}{9} e^{x^{9}} + c_{1}

y = \frac{1}{9} e^{x^{9}} + c_{1}

Graph

Beliebte Beispiele

limit as x approaches a+1 of x^2-1

x \to a + 1 lim (x^{2} - 1)

d/(dy)(1/(sqrt(x^2+y^2)))

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

integral of sqrt(64-t^2)

\int 64 - t^{2} d t

derivative of-6e^{-x}

\frac{d}{d x} (- 6 e^{- x})

tangent f(x)^8x^2+4x-7,x=-3

t an g e n t f (x)^{8} x^{2} + 4 x - 7, x = - 3