Processing Math: 76%
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.
No jsMath TeX fonts found -- using image fonts instead.
These may be slow and might not print well.
Use the jsMath control panel to get additional information.
jsMath Control PanelHide this Message

jsMath

1.1 Übungen

Aus Online Mathematik Brückenkurs 2

(Unterschied zwischen Versionen)
Wechseln zu: Navigation, Suche
K (1.1 Exercises moved to 1.1 Übungen: Robot: moved page)
K (Robot: Automated text replacement (-{{:1.1 - Figure - The graph of f(x) in exercise 1.1:1}} +{{:1.1 - Bild - Die Kurve von f(x) in Übung 1.1:1}}))
Zeile 24: Zeile 24:
(Each square in the grid of the figure has width and height 1.)
(Each square in the grid of the figure has width and height 1.)
| width="5%" |
| width="5%" |
-
||{{:1.1 - Figure - The graph of f(x) in exercise 1.1:1}}
+
||{{:1.1 - Bild - Die Kurve von f(x) in Übung 1.1:1}}
|}
|}
</div>{{#NAVCONTENT:Antwort|Antwort 1.1:1|Lösung a|Lösung 1.1:1a|Lösung b|Lösung 1.1:1b|Lösung c|Lösung 1.1:1c}}
</div>{{#NAVCONTENT:Antwort|Antwort 1.1:1|Lösung a|Lösung 1.1:1a|Lösung b|Lösung 1.1:1b|Lösung c|Lösung 1.1:1c}}

Version vom 13:30, 11. Mär. 2009

       Theorie          Übungen      

Übung 1.1:1

The graph for f(x) is shown in the figure.

a) What are the signs of f(−4) and f(1)?
b) For what values of x is f(x)=0?
c) In which interval(s) is f(x) negative?

(Each square in the grid of the figure has width and height 1.)

[Image]

Antwort | Lösung a | Lösung b | Lösung c

Übung 1.1:2

Determine the derivative f(x) when

a) f(x)=x2−3x+1 b) f(x)=cosx−sinx c) f(x)=ex−lnx
d) f(x)=x  e) f(x)=(x2−1)2 f) f(x)=cos(x+3)

Antwort | Lösung a | Lösung b | Lösung c | Lösung d | Lösung e | Lösung f

Übung 1.1:3

A small ball, that is released from a height of h=10m above the ground at time t=0, is at a height h(t)=10−2982t2 at time \displaystyle t (measured in seconds) What is the speed of the ball when it hits the grounds?

Antwort | Lösung

Übung 1.1:4

Determine the equation for the tangent and normal to the curve \displaystyle y=x^2 at the point \displaystyle (1,1).

Antwort | Lösung

Übung 1.1:5

Determine all the points on the curve \displaystyle y=-x^2 which have a tangent that goes through the point \displaystyle (1,1).

Antwort | Lösung

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/1.1_%C3%9Cbungen“