(\partial)/(\partial x)(cos^2(x+y))

Lösung

\frac{\partial}{\partial x} (cos^{2} (x + y))

- sin (2 (x + y))

Schritte zur Lösung

\frac{\partial}{\partial x} (cos^{2} (x + y))

Behandle

y

als Konstante

Wende die Kettenregel an:

2 cos (x + y) \frac{\partial}{\partial x} (cos (x + y))

= 2 cos (x + y) \frac{\partial}{\partial x} (cos (x + y))

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

= 2 cos (x + y) (- sin (x + y))

Vereinfache

2 cos (x + y) (- sin (x + y)) : - sin (2 (x + y))

= - sin (2 (x + y))

\frac{d y}{d x} + \frac{2 y}{x} = \frac{1}{x ^{2}}

a re a x^{2} - 4, y = 0, x = - 4, x = 3

\frac{d}{d x} (ln (\frac{a + b x}{a - b x}))

in v erse l a pl a ce \frac{1}{s ^{2} + 4 s + 12}

\frac{d}{d x} ((7 x + 3)^{2})