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1.2 Übungen

Aus Online Mathematik Brückenkurs 2

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===Example 1.2:1===
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===Beispiel 1.2:1===
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Calculate the derivative of the following functions and write the answer in simplest possible form:
Calculate the derivative of the following functions and write the answer in simplest possible form:
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===Example 1.2:2===
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===Beispiel 1.2:2===
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Calculate the derivative of the following functions and write the answer in simplest possible form:
Calculate the derivative of the following functions and write the answer in simplest possible form:
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===Example 1.2:3===
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===Beispiel 1.2:3===
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Calculate the derivative of the following functions and write the answer in simplest possible form:
Calculate the derivative of the following functions and write the answer in simplest possible form:
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===Example 1.2:4===
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===Beispiel 1.2:4===
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Calculate the second derivative of the following functions and write the answer in simplest possible form:
Calculate the second derivative of the following functions and write the answer in simplest possible form:

Version vom 13:35, 10. Mär. 2009

       Theorie          Beispiels      

Beispiel 1.2:1

Calculate the derivative of the following functions and write the answer in simplest possible form:

a) cosxsinx b) x2lnx c) x+1x2+1
d) xsinx e) xlnx f) sinxxlnx

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

Beispiel 1.2:2

Calculate the derivative of the following functions and write the answer in simplest possible form:

a) sinx2 b) ex2+x c) cosx 
d) lnlnx e) x(2x+1)4 f) cos1−x 

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

Beispiel 1.2:3

Calculate the derivative of the following functions and write the answer in simplest possible form:

a) ln(x+x+1)  b) x−1x+1  c) 1x1−x2
d) sincossinx e) esinx2 f) xtanx

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

Beispiel 1.2:4

Calculate the second derivative of the following functions and write the answer in simplest possible form:

a) x1−x2 b) x(sinlnx+coslnx)

Antwort | Lösung a | Lösung b

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/1.2_%C3%9Cbungen“