(\partial)/(\partial x)(y^5sin(6x))

Lösung

\frac{\partial}{\partial x} (y^{5} sin (6 x))

y^{5} cos (6 x) \cdot 6

Schritte zur Lösung

\frac{\partial}{\partial x} (y^{5} sin (6 x))

Behandle

y

als Konstante

Entferne die Konstante:

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

= y^{5} \frac{\partial}{\partial x} (sin (6 x))

Wende die Kettenregel an:

cos (6 x) \frac{\partial}{\partial x} (6 x)

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

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

= y^{5} cos (6 x) \cdot 6

\int_{0}^{1} \int_{0}^{s^{5}} cos (s^{6}) d t d s

y^{^{'}} = - t y

\frac{d y}{d x} = y (1 - y)

x \to 4 lim (5 x^{2} - 2 x + 3)

x \to 7 lim (\frac{( x ^{2} - 2 x - 35 )}{x - 7})