derivative of x+iy(x)

Lösung

\frac{d}{d x} (x + i y (x))

1 + i \frac{d}{d x} (y (x))

Schritte zur Lösung

\frac{d}{d x} (x + i y (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} + \frac{d}{d x} (i y (x))

\frac{d x}{d x} = 1

\frac{d}{d x} (i y (x)) = i \frac{d}{d x} (y (x))

= 1 + i \frac{d}{d x} (y (x))

(x + y)^{2} d x + (2 x y + x^{2} - 5) d y = 0, y (1) = 1

\int_{0}^{8} \frac{1}{x ^{2} + 16} d x

f (X) = \frac{ln ( 2 )}{ln ( X )}

- \frac{d}{d x} (\frac{d y}{d x}) + 400 y = 0

\int sin^{9} (x) cos (x) d x