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1.2 Übungen

Aus Online Mathematik Brückenkurs 2

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       Theory          Examples      

Example 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

Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f

Example 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 

Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f

Example 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

Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f

Example 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)

Answer | Solution a | Solution b

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