Question 1

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Considera la funció: begin mathsize 14px style bold f bold left parenthesis bold x bold right parenthesis bold equals open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell begin bold style b plus 13 times x squared plus 9 times x end style end cell cell bold si bold space bold x bold space bold less than begin bold style 0 end style end cell row cell begin bold style a times straight e to the power of b times x end exponent end style end cell cell bold si bold space bold x bold space bold greater or equal than begin bold style 0 end style end cell end table close end style

 

Determina per quins valors de a i b, la funció és contínua i derivable en tots els nombres reals.

Setembre 2005 MA

Format:  {{a=2,b=3},{a=-1,b=-2}}

 

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