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Beliebt Rechnen >

(\partial)/(\partial x)(6x^2+y^2-7y)

Lösung

\frac{\partial}{\partial x} (6 x^{2} + y^{2} - 7 y)

Lösung

12 x

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x^{2} + y^{2} - 7 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 x^{2}) + \frac{\partial}{\partial x} (y^{2}) - \frac{\partial}{\partial x} (7 y)

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

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

\frac{\partial}{\partial x} (7 y) = 0

= 12 x + 0 - 0

Vereinfache

= 12 x

Beliebte Beispiele

inverselaplace e^{-6s}

in v erse l a pl a ce e^{- 6 s}

(\partial)/(\partial x)(56ye^{8x})

\frac{\partial}{\partial x} (56 y e^{8 x})

integral of (8+x)(2x-8)

\int (8 + x) (2 x - 8) d x

(ln(x+sqrt(1+x^2)))^'

(ln (x + 1 + x^{2}))^{^{'}}

integral of ((y+1))/y

\int \frac{( y + 1 )}{y} d y