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Beliebt Rechnen >

(dy)/(dx)=5x

Lösung

\frac{d y}{d x} = 5 x

Lösung

y = \frac{5 x ^{2}}{2} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 5 x

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 5 x

Wenn

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

dann

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

y = \int 5 x d x

\int 5 x d x = \frac{5 x ^{2}}{2} + c_{1}

y = \frac{5 x ^{2}}{2} + c_{1}

Graph

Beliebte Beispiele

integral from-2 to 2 of x^2+1

\int_{- 2}^{2} x^{2} + 1 d x

derivative of 8x^{-1}

\frac{d}{d x} (8 x^{- 1})

derivative f(x)=x^{-2/5}

d er i v a t i v e f (x) = x^{- \frac{2}{5}}

derivative of (e^x(x+xsqrt(x)))

\frac{d}{d x} ((e^{x}) (x + x x))

limit as x approaches 1 of 2x^2-5x+1

x \to 1 lim (2 x^{2} - 5 x + 1)