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Beliebt Rechnen >

derivative of a(x-sin(x))

Lösung

\frac{d}{d x} (a (x - sin (x)))

Lösung

a (1 - cos (x))

Schritte zur Lösung

\frac{d}{d x} (a (x - sin (x)))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= a \frac{d}{d x} (x - sin (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= a (\frac{d x}{d x} - \frac{d}{d x} (sin (x)))

\frac{d x}{d x} = 1

\frac{d}{d x} (sin (x)) = cos (x)

= a (1 - cos (x))

Graph

Beliebte Beispiele

tangent y=4x-x^2(1.3)

t an g e n t y = 4 x - x^{2} (1.3)

y^'=x^2+x,y(1)=3

y^{^{'}} = x^{2} + x, y (1) = 3

integral of sin^3(6x)cos^2(6x)

\int sin^{3} (6 x) cos^{2} (6 x) d x

integral from 0 to 3 of pi(1/(x+5))^2

\int_{0}^{3} π (\frac{1}{x + 5})^{2} d x

fläche y=sqrt(3x)+1,y=x+1

a re a y = 3 x + 1, y = x + 1