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Beliebt Rechnen >

derivative sin(x^2)+((1-x))/(1+x)

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

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