(\partial)/(\partial x)(ln(ycos(x)))

Lösung

\frac{\partial}{\partial x} (ln (y cos (x)))

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

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (y cos (x)))

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{y cos ( x )} \frac{\partial}{\partial x} (y cos (x))

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

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

= \frac{1}{y cos ( x )} (- y sin (x))

Vereinfache

\frac{1}{y cos ( x )} (- y sin (x)) : - \frac{sin ( x )}{cos ( x )}

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

n or ma l y = e^{x}, at x = ln (2)

\int x (2 x + 5)^{20} d x

\frac{\partial}{\partial x} (7 e^{x} sin (y))

x \to 2 lim (7 x - 4)

x \to 2 lim (\frac{x ^{3} + 1}{x + 1})