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Beliebt Rechnen >

(dy)/(dx)=(3x)

Lösung

\frac{d y}{d x} = (3 x)

Lösung

y = \frac{3 x ^{2}}{2} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = (3 x)

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = (3 x)

Wenn

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

dann

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

y = \int 3 x d x

\int 3 x d x = \frac{3 x ^{2}}{2} + c_{1}

y = \frac{3 x ^{2}}{2} + c_{1}

Graph

Beliebte Beispiele

derivative of cot(4x^2(x^2-9))

\frac{d}{d x} (cot (4 x^{2}) (x^{2} - 9))

sum from n=1 to infinity of (n+4)/(3n+2)

n = 1 \sum \infty \frac{n + 4}{3 n + 2}

integral of 1/(sqrt(x^2-4x))

\int \frac{1}{x ^{2} - 4 x} d x

integral of 1/((x^2-1)^{1/2)}

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

(dy)/(dx)= 3/(xy^2)

\frac{d y}{d x} = \frac{3}{x y ^{2}}