de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

3 sin (2 x)

Schritte zur Lösung

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

Vereinfache

2 sin^{2} (x) - cos^{2} (x) : 2 - 3 cos^{2} (x)

= \frac{d}{d x} (2 - 3 cos^{2} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) - \frac{d}{d x} (3 cos^{2} (x))

\frac{d}{d x} (2) = 0

\frac{d}{d x} (3 cos^{2} (x)) = - 3 sin (2 x)

= 0 - (- 3 sin (2 x))

Vereinfache

= 3 sin (2 x)

Graph

Beliebte Beispiele

derivative y=-e^x(x^2-2x+3)

d er i v a t i v e y = - e^{x} (x^{2} - 2 x + 3)

derivative log_{10}((1+x)/n)

d er i v a t i v e lo g_{10} (\frac{1 + x}{n})

derivative (x^2)/(a^2)

d er i v a t i v e \frac{x ^{2}}{a ^{2}}

derivative (ln(x^2))/2

d er i v a t i v e \frac{ln ( x ^{2} )}{2}

derivative x=7t^2-t+4

d er i v a t i v e x = 7 t^{2} - t + 4