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1.1 Übungen

Aus Online Mathematik Brückenkurs 2

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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?

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[Image]

Übung 1.1:2

Determine the derivative f(x) when

a) f(x)=x23x+1 b) f(x)=cosxsinx c) f(x)=exlnx
d) f(x)=x  e) f(x)=(x21)2 f) f(x)=cos(x+3)

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)=102982t2 at time t (measured in seconds) What is the speed of the ball when it hits the grounds?

Übung 1.1:4

Determine the equation for the tangent and normal to the curve y=x2 at the point (11).

Übung 1.1:5

Determine all the points on the curve y=x2 which have a tangent that goes through the point (11).