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Beliebt Rechnen >

derivative sqrt(sin(1+x^2))

Lösung

ableitung von

sin (1 + x^{2})

Lösung

\frac{1}{2 sin ( 1 + x ^{2} )} cos (1 + x^{2}) \cdot 2 x

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 sin ( 1 + x ^{2} )} cos (1 + x^{2}) \cdot 2 x

Graph

Beliebte Beispiele

derivative of sec^3(4x)

\frac{d}{d x} (sec^{3} (4 x))

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integral of cos(4t)-sin(4t)

\int cos (4 t) - sin (4 t) d t

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

derivative of e^{9x^2}

\frac{d}{d x} (e^{9 x^{2}})