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Beliebt Rechnen >

(\partial)/(\partial x)(3(y-1)^3(x-6))

Lösung

\frac{\partial}{\partial x} (3 (y - 1)^{3} (x - 6))

Lösung

3 (y - 1)^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (3 (y - 1)^{3} (x - 6))

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 (y - 1)^{3} \frac{\partial}{\partial x} (x - 6)

Wende die Summen-/Differenzregel an:

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

= 3 (y - 1)^{3} (\frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (6))

\frac{\partial}{\partial x} (x) = 1

\frac{\partial}{\partial x} (6) = 0

= 3 (y - 1)^{3} (1 - 0)

Vereinfache

= 3 (y - 1)^{3}

Beliebte Beispiele

integral of (x^3)/(x^2+4x+4)

\int \frac{x ^{3}}{x ^{2} + 4 x + 4} d x

integral of (x-1)^2-4

\int (x - 1)^{2} - 4 d x

integral of (x+1)(x+2)

\int (x + 1) (x + 2) d x

limit as x approaches 1 of 1/(x+1)

x \to 1 lim (\frac{1}{x + 1})

fläche f(x)=x^2,x=0,x=2

a re a f (x) = x^{2}, x = 0, x = 2