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Beliebt Rechnen >

(\partial)/(\partial x)(6y^2-6x^2)

Lösung

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

Lösung

- 12 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (6 y^{2}) = 0

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

= 0 - 12 x

Vereinfache

= - 12 x

Beliebte Beispiele

tangent f(x)=x^2+2,(2,6)

t an g e n t f (x) = x^{2} + 2, (2, 6)

tangent f(x)=x^2-sqrt(x),\at x=4

t an g e n t f (x) = x^{2} - x, at x = 4

y^'=yln((450)/y)

y^{^{'}} = y ln (\frac{450}{y})

integral of 1/(e^{-y)+1}

\int \frac{1}{e ^{- y} + 1} d y

(\partial)/(\partial y)(x/(y+z))

\frac{\partial}{\partial y} (\frac{x}{y + z})