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Beliebt Rechnen >

(\partial)/(\partial x)(2xy^2-2x^3y)

Lösung

\frac{\partial}{\partial x} (2 x y^{2} - 2 x^{3} y)

Lösung

2 y^{2} - 6 y x^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x y^{2} - 2 x^{3} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x y^{2}) - \frac{\partial}{\partial x} (2 x^{3} y)

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

\frac{\partial}{\partial x} (2 x^{3} y) = 6 y x^{2}

= 2 y^{2} - 6 y x^{2}

Beliebte Beispiele

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

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

derivative y=(x^2+1)/(2x^2-1)

d er i v a t i v e y = \frac{x ^{2} + 1}{2 x ^{2} - 1}

derivative of 1-cos(x-1)

\frac{d}{d x} (1 - cos (x - 1))

tangent f(x)=12sqrt(x)-2x,\at x=9

t an g e n t f (x) = 12 x - 2 x, at x = 9

integral of 3/(9+x^2)

\int \frac{3}{9 + x ^{2}} d x