derivative of (sin(x-cos(x))^2)

Lösung

\frac{d}{d x} ((sin (x) - cos (x))^{2})

- 2 cos (2 x)

Schritte zur Lösung

\frac{d}{d x} ((sin (x) - cos (x))^{2})

Vereinfache

(sin (x) - cos (x))^{2} : 1 - sin (2 x)

= \frac{d}{d x} (1 - sin (2 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (sin (2 x))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= 0 - cos (2 x) \cdot 2

Vereinfache

= - 2 cos (2 x)

\int e^{7 x} sin (6 x) d x

d er i v a t i v e y = \frac{1}{t} + \frac{1}{t ^{2}} - \frac{1}{t}

s im pl i f y (x^{2} + a^{2})^{e^{x^{2}}}

x \to 6 - lim (\frac{x}{6 - x})

\int x^{2} + x + 1 d x