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Beliebt Rechnen >

derivative of 2xy^4-3

Lösung

\frac{d}{d x} (2 x y^{4} - 3)

Lösung

2 (4 x y^{3} \frac{d y}{d x} + y^{4})

Schritte zur Lösung

\frac{d}{d x} (2 x y^{4} - 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x y^{4}) - \frac{d}{d x} (3)

\frac{d}{d x} (2 x y^{4}) = 2 (y^{4} + 4 x y^{3} \frac{d y}{d x})

\frac{d}{d x} (3) = 0

= 2 (y^{4} + 4 x y^{3} \frac{d y}{d x}) - 0

Vereinfache

= 2 (4 x y^{3} \frac{d y}{d x} + y^{4})

Beliebte Beispiele

(\partial)/(\partial x)(2x^3y+sin(x^3))

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

integral of (2x^2+3x)^3

\int (2 x^{2} + 3 x)^{3} d x

derivative y=(f(x))/(x^5)

d er i v a t i v e y = \frac{f ( x )}{x ^{5}}

derivative 2tan^2(7x)

d er i v a t i v e 2 tan^{2} (7 x)

(2xy+3)dx+(x^2-1)dy=0

(2 x y + 3) d x + (x^{2} - 1) d y = 0