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Beliebt Rechnen >

derivative of (yx^2)

Lösung

\frac{d}{d x} ((y) x^{2})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} ((y) x^{2})

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = y, g = x^{2}

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

\frac{d}{d x} (x^{2}) = 2 x

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

Beliebte Beispiele

(\partial)/(\partial x)(xzt^2sqrt(y+1))

\frac{\partial}{\partial x} (x z t^{2} y + 1)

derivative f(x)=e^{3e^x}

d er i v a t i v e f (x) = e^{3 e^{x}}

steigung (5.4)8x^2-9y^3=-376

s l o p e (5.4) 8 x^{2} - 9 y^{3} = - 376

x((dy)/(dx))=-y+2x^2y

x (\frac{d y}{d x}) = - y + 2 x^{2} y

integral of y*e^y

\int y \cdot e^{y} d y