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Beliebt Rechnen >

(\partial)/(\partial x)(2xy+5x^2)

Lösung

\frac{\partial}{\partial x} (2 x y + 5 x^{2})

Lösung

2 y + 10 x

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x y + 5 x^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x y) + \frac{\partial}{\partial x} (5 x^{2})

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

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

= 2 y + 10 x

Beliebte Beispiele

tangent f(x)=(x^2)/(x+9),\at x=1

t an g e n t f (x) = \frac{x ^{2}}{x + 9}, at x = 1

limit as x approaches 0 of x/(x^2+5x)

x \to 0 lim (\frac{x}{x ^{2} + 5 x})

derivative y=x^4f(x)

d er i v a t i v e y = x^{4} f (x)

inverselaplace 6/(2s+1)

in v erse l a pl a ce \frac{6}{2 s + 1}

integral of cot(x)ln(sin(x))

\int cot (x) ln (sin (x)) d x