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Beliebt Rechnen >

derivative of 4x^2y

Lösung

\frac{d}{d x} (4 x^{2} y)

Lösung

4 (2 x y + \frac{d y}{d x} x^{2})

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} y)

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (x^{2} y)

Wende die Produktregel an:

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

f = x^{2}, g = y

= 4 (\frac{d}{d x} (x^{2}) y + \frac{d y}{d x} x^{2})

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

= 4 (2 x y + \frac{d y}{d x} x^{2})

Beliebte Beispiele

fläche x=-5,x=3,y=10x,y=x^2-11

a re a x = - 5, x = 3, y = 10 x, y = x^{2} - 11

derivative (ln(x))/2+2

d er i v a t i v e \frac{ln ( x )}{2} + 2

(\partial)/(\partial y)(1+xln(xy-5))

\frac{\partial}{\partial y} (1 + x ln (x y - 5))

derivative of 7sin(2x)

\frac{d}{d x} (7 sin (2 x))

derivative of (2x+3^5)

\frac{d}{d x} ((2 x + 3)^{5})