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Beliebt Rechnen >

derivative of y=(2cos(x))/(1+sin(x))

Lösung

\frac{d}{d x} y = \frac{2 cos ( x )}{1 + sin ( x )}

Lösung

y = 2 ln (1 + sin (x)) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{2 cos ( x )}{1 + sin ( x )}

Wenn

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

dann

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

y = \int \frac{2 cos ( x )}{1 + sin ( x )} d x

\int \frac{2 cos ( x )}{1 + sin ( x )} d x = 2 ln (1 + sin (x)) + c_{1}

y = 2 ln (1 + sin (x)) + c_{1}

Graph

Beliebte Beispiele

(dy)/(dx)+0.7y-18.2=0

\frac{d y}{d x} + 0.7 y - 18.2 = 0

(7xy^2-3)dx+(7x^2y+4)dy=0

(7 x y^{2} - 3) d x + (7 x^{2} y + 4) d y = 0

integral from 0 to 3 of sqrt(x^4+1)x^3

\int_{0}^{3} x^{4} + 1 x^{3} d x

integral of (x^2+8x+1)/(x^3+12x^2+3x+6)

\int \frac{x ^{2} + 8 x + 1}{x ^{3} + 12 x ^{2} + 3 x + 6} d x

integral of (-4y-1)/(y+1)

\int \frac{- 4 y - 1}{y + 1} d y