(\partial)/(\partial x)(4(y-1)(x-4)^3)

Lösung

\frac{\partial}{\partial x} (4 (y - 1) (x - 4)^{3})

12 (y - 1) (x - 4)^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (4 (y - 1) (x - 4)^{3})

Behandle

y

als Konstante

Entferne die Konstante:

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

= 4 (y - 1) \frac{\partial}{\partial x} ((x - 4)^{3})

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x - 4) = 1

= 4 (y - 1) \cdot 3 (x - 4)^{2} \cdot 1

Vereinfache

= 12 (y - 1) (x - 4)^{2}

\int y e^{0.2 y} d y

\int_{0}^{π} 3 tan (\frac{x}{3}) d x

\frac{d}{d x} (1 + sec^{2} (x))

x \to 2 lim (\frac{x - 9}{x - 9 x})

\int_{4}^{7} x^{3} ln (4 x) d x