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Beliebt Rechnen >

(\partial)/(\partial x)(8x^2y+5xy^3)

Lösung

\frac{\partial}{\partial x} (8 x^{2} y + 5 x y^{3})

Lösung

16 y x + 5 y^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (8 x^{2} y + 5 x y^{3})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (8 x^{2} y) + \frac{\partial}{\partial x} (5 x y^{3})

\frac{\partial}{\partial x} (8 x^{2} y) = 16 y x

\frac{\partial}{\partial x} (5 x y^{3}) = 5 y^{3}

= 16 y x + 5 y^{3}

Beliebte Beispiele

tangent y=7x^2-4x,-74

t an g e n t y = 7 x^{2} - 4 x, - 74

integral of (x-9)^2

\int (x - 9)^{2} d x

integral from 0 to pi/3 of tan^5(x)

\int_{0}^{\frac{π}{3}} tan^{5} (x) d x

y^{''}+6/x y^'+4/(x^2)y=0

y^{^{''}} + \frac{6}{x} y^{^{'}} + \frac{4}{x ^{2}} y = 0

derivative f(x)=sqrt(x^2-4x+2)

d er i v a t i v e f (x) = x^{2} - 4 x + 2