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Beliebt Rechnen >

derivative of sin^2(sqrt(x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 sin (x) \frac{cos ( x )}{2 x}

Vereinfache

2 sin (x) \frac{cos ( x )}{2 x} : \frac{cos ( x ) sin ( x )}{x}

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

Graph

Beliebte Beispiele

integral of (sqrt(x))/(\sqrt[3]{x)1}

y^{''}-4y^'+3y=e^{-x}

derivative (5x+1)^2

tangent f(x)=-3cos(x),\at x=-pi/4

derivative of (7x+5^2)