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Beliebt Rechnen >

(\partial)/(\partial x)(yln(x)+xy^2)

Lösung

\frac{\partial}{\partial x} (y ln (x) + x y^{2})

Lösung

\frac{y}{x} + y^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (y ln (x) + x y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (y ln (x)) + \frac{\partial}{\partial x} (x y^{2})

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

\frac{\partial}{\partial x} (x y^{2}) = y^{2}

= \frac{y}{x} + y^{2}

Beliebte Beispiele

integral of (1/(x^5)-x^5-1/3)

\int (\frac{1}{x ^{5}} - x^{5} - \frac{1}{3}) d x

taylor 2/(1-x^2)

t a y l or \frac{2}{1 - x ^{2}}

y^{''}-4y^'+4y=0,y(0)=2,y^'(0)=7

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = 7

sum from n=0 to infinity of 1(-1/3)^n

n = 0 \sum \infty 1 (- \frac{1}{3})^{n}

integral of 56x

\int 56 x d x