derivative of (xy+1^2)

Lösung

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

2 (x y + 1) (x \frac{d y}{d x} + y)

Schritte zur Lösung

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

Wende die Kettenregel an:

2 (x y + 1) \frac{d}{d x} (x y + 1)

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

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

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

x \to 2 lim (x^{2} - x + 2)

\int \frac{2 ^{l n (x)}}{x} d x

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