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Beliebt Rechnen >

(\partial)/(\partial x)(4yx^3-6y^2x^2)

Lösung

\frac{\partial}{\partial x} (4 y x^{3} - 6 y^{2} x^{2})

Lösung

12 y x^{2} - 12 y^{2} x

Schritte zur Lösung

\frac{\partial}{\partial x} (4 y x^{3} - 6 y^{2} x^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 y x^{3}) - \frac{\partial}{\partial x} (6 y^{2} x^{2})

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

\frac{\partial}{\partial x} (6 y^{2} x^{2}) = 12 y^{2} x

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

Beliebte Beispiele

tangent f(x)= 1/(1+x^2),(1, 1/2)

t an g e n t f (x) = \frac{1}{1 + x ^{2}}, (1, \frac{1}{2})

\frac{d}{d y} (4)

integral of 15z^3e^z

\int 15 z^{3} e^{z} d z

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y^{'''}+4y^'=cot(2x)

y^{^{'''}} + 4 y^{^{'}} = cot (2 x)