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

Lösung

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

2 sin (y^{2} - 2 x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

- sin (y^{2} - 2 x) \frac{\partial}{\partial x} (y^{2} - 2 x)

= - sin (y^{2} - 2 x) \frac{\partial}{\partial x} (y^{2} - 2 x)

\frac{\partial}{\partial x} (y^{2} - 2 x) = - 2

= - sin (y^{2} - 2 x) (- 2)

Vereinfache

= 2 sin (y^{2} - 2 x)

d er i v a t i v e \frac{x + 1}{x - 1}

\frac{\partial}{\partial x} (lo g_{10} (x y))

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

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

n = 1 \sum \infty \frac{1}{n ^{4} + 1}