derivative of 6ycos(x)

Lösung

\frac{d}{d x} (6 y cos (x))

6 (cos (x) \frac{d y}{d x} - sin (x) y)

Schritte zur Lösung

\frac{d}{d x} (6 y cos (x))

Entferne die Konstante:

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

= 6 \frac{d}{d x} (y cos (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = y, g = cos (x)

= 6 (\frac{d y}{d x} cos (x) + \frac{d}{d x} (cos (x)) y)

\frac{d}{d x} (cos (x)) = - sin (x)

= 6 (\frac{d y}{d x} cos (x) + (- sin (x)) y)

Vereinfache

= 6 (cos (x) \frac{d y}{d x} - sin (x) y)

x \to 81 lim (lo g_{243} (x))

x \to \infty lim (x^{4} - 1)

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

t an g e n t 4 x^{2}, at x = 3

\frac{\partial}{\partial θ} (θ)