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Beliebt Rechnen >

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

Lösung

\frac{d}{d x} (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

Beliebte Beispiele

derivative of (4x/(9-tan(x)))

\frac{d}{d x} (\frac{4 x}{9 - tan ( x )})

(\partial)/(\partial z)(xe^{{w}(x,z)})

\frac{\partial}{\partial z} (x e^{w (x, z)})

ln(x)-x^2y=xy^'

ln (x) - x^{2} y = x y^{^{'}}

integral from 1 to 4 of 5/(sqrt(x))

\int_{1}^{4} \frac{5}{x} d x

\frac{d x}{d t} = - a x