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Beliebt Rechnen >

derivative of sin(x-cos(y)-2)=0

Lösung

\frac{d}{d x} (sin (x) - cos (y) - 2) = 0

Lösung

y = arccos (- c_{1} + sin (x) - 2) + 2 πn, y = - arccos (- c_{1} + sin (x) - 2) + 2 πn

Schritte zur Lösung

\frac{d}{d x} (sin (x) - cos (y) - 2) = 0

Wenn

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

dann

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

sin (x) - cos (y) - 2 = \int 0 d x

\int 0 d x = c_{1}

sin (x) - cos (y) - 2 = c_{1}

Isoliere

y : y = arccos (- c_{1} + sin (x) - 2) + 2 πn, y = - arccos (- c_{1} + sin (x) - 2) + 2 πn

y = arccos (- c_{1} + sin (x) - 2) + 2 πn, y = - arccos (- c_{1} + sin (x) - 2) + 2 πn

Graph

Beliebte Beispiele

(dy)/(dx)=(15x^2-6x+2)/((y+2))

\frac{d y}{d x} = \frac{15 x ^{2} - 6 x + 2}{( y + 2 )}

(dy)/(dx)=(1+x)/(xy^6),y(1)=5

\frac{d y}{d x} = \frac{1 + x}{x y ^{6}}, y (1) = 5

(dy)/(dx)=3x^2+3x^2y^2

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

y^'=cos(x)sec(y)

y^{^{'}} = cos (x) sec (y)

y^'(x)=(ycos(x))/(1+3y^3),y(0)=1

y^{^{'}} (x) = \frac{y cos ( x )}{1 + 3 y ^{3}}, y (0) = 1