Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.
jsMath

Lösung 1.2:1a

Aus Online Mathematik Brückenkurs 2

(Unterschied zwischen Versionen)
Wechseln zu: Navigation, Suche
K
K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel))
Zeile 1: Zeile 1:
Because the expression is a product of two factors, we use the product rule,
Because the expression is a product of two factors, we use the product rule,
-
{{Displayed math||<math>\begin{align}
+
{{Abgesetzte Formel||<math>\begin{align}
(\sin x\cdot\cos x)^{\prime }
(\sin x\cdot\cos x)^{\prime }
&= (\cos x)^{\prime }\cdot\sin x + \cos x\cdot (\sin x)^{\prime }\\[5pt]
&= (\cos x)^{\prime }\cdot\sin x + \cos x\cdot (\sin x)^{\prime }\\[5pt]

Version vom 12:51, 10. Mär. 2009

Because the expression is a product of two factors, we use the product rule,

(sinxcosx)=(cosx)sinx+cosx(sinx)=−sinxsinx+cosxcosx=−sin2x+cos2x.

Using the formula for double angles, the answer can be simplified to cos2x.

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_1.2:1a“