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Beliebt Rechnen >

derivative of (x+y^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

integral from 0 to 1 of sqrt(1+9x^2)

\int_{0}^{1} 1 + 9 x^{2} d x

derivative of d-d/(x^2-ax-b)

\frac{d}{d x} (d - \frac{d}{x ^{2}} - a x - b)

derivative of (1+cos(2x)/2)

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

integral of ln|e^{xy}cos(x)|

\int ln ∣ e^{x y} cos (x) ∣ d y

integral of t*ln(t+1)

\int t \cdot ln (t + 1) d t