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Beliebt Rechnen >

(\partial)/(\partial x)(x-y+xy)

Lösung

\frac{\partial}{\partial x} (x - y + x y)

Lösung

y + 1

Schritte zur Lösung

\frac{\partial}{\partial x} (x - y + x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (y) + \frac{\partial}{\partial x} (x y)

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

\frac{\partial}{\partial x} (y) = 0

\frac{\partial}{\partial x} (x y) = y

= 1 - 0 + y

Vereinfache

= y + 1

Beliebte Beispiele

derivative of (6x-1/(3x^2-x))

\frac{d}{d x} (\frac{6 x - 1}{3 x ^{2} - x})

integral of (5x^4)/(x^5+8)

\int \frac{5 x ^{4}}{x ^{5} + 8} d x

integral from 1 to 3 of x/(x^2+1)

\int_{1}^{3} \frac{x}{x ^{2} + 1} d x

derivative of log_{8}(sqrt(x+9))

\frac{d}{d x} (lo g_{8} (x + 9))

integral of 13sin^2(xco)s^2x

\int 13 sin^{2} (x co) s^{2} x d x