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Beliebt Rechnen >

derivative of sin(x-sin^2(x))

Lösung

\frac{d}{d x} (sin (x) - sin^{2} (x))

Lösung

cos (x) - sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) - sin^{2} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x)) - \frac{d}{d x} (sin^{2} (x))

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

\frac{d}{d x} (sin^{2} (x)) = sin (2 x)

= cos (x) - sin (2 x)

Graph

Beliebte Beispiele

derivative y=x^3(2x-5)^4

d er i v a t i v e y = x^{3} (2 x - 5)^{4}

-e^xy(dy)/(dx)=e^{-y}+e^{-2x-y}

- e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 2 x - y}

integral of (x^2)/((1+x^2)^2)

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

derivative of-(sin(ln(x))/x)

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

derivative of-x^2y

\frac{d}{d x} (- x^{2} y)