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Beliebt Rechnen >

(dy)/(dx)=3cos(7x)

Lösung

\frac{d y}{d x} = 3 cos (7 x)

Lösung

y = \frac{3}{7} sin (7 x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 3 cos (7 x)

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 3 cos (7 x)

Wenn

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

dann

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

y = \int 3 cos (7 x) d x

\int 3 cos (7 x) d x = \frac{3}{7} sin (7 x) + c_{1}

y = \frac{3}{7} sin (7 x) + c_{1}

Graph

Beliebte Beispiele

derivative g(x)=sqrt(x)+5

d er i v a t i v e g (x) = x + 5

integral of 4x-2sqrt(x)

\int 4 x - 2 x d x

integral of e^2ln(x)

\int e^{2} ln (x) d x

integral of x/(sqrt(1-9x^2))

\int \frac{x}{1 - 9 x ^{2}} d x

limit as x approaches 4 of (|4-x|)/(4-x)

x \to 4 lim (\frac{∣ 4 - x ∣}{4 - x})