d/(d{x)}(({f}(x,y))({x}+{x}^2-{y}^2))

Lösung

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

f (x, y) (1 + 2 x - 0)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= f (x, y) \frac{d}{d x} (x + x^{2} - y^{2})

Wende die Summen-/Differenzregel an:

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

= f (x, y) (\frac{d}{d x} (x) + \frac{d}{d x} (x^{2}) - \frac{d}{d x} (y^{2}))

\frac{d}{d x} (x) = 1

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

\frac{d}{d x} (y^{2}) = 0

= f (x, y) (1 + 2 x - 0)

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e x p an d \frac{4 s}{( s - 2 ) ( s ^{2} + 4 )}

e x p an d \frac{z ^{4} - 3 z + 6}{( z + 1 ) ^{3}}

s im pl i f y \frac{( 1 - i ) ^{7}}{( 1 + i ) ^{9}}