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Beliebt Rechnen >

(\partial)/(\partial y)(3x^2y^4-4)

Lösung

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

Lösung

12 x^{2} y^{3}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (3 x^{2} y^{4}) = 12 x^{2} y^{3}

\frac{\partial}{\partial y} (4) = 0

= 12 x^{2} y^{3} - 0

Vereinfache

= 12 x^{2} y^{3}

Beliebte Beispiele

derivative 2/(x^2+3)

d er i v a t i v e \frac{2}{x ^{2} + 3}

derivative 2ax+b

d er i v a t i v e 2 a x + b

(dy}{dx}=\frac{2x)/y

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

integral from-8 to 8 of x^{1/3}

\int_{- 8}^{8} x^{\frac{1}{3}} d x

y^{''}-1/x y^'=3x

y^{^{''}} - \frac{1}{x} y^{^{'}} = 3 x