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Fórmules de derivades

Derivada de funcions elementals

Fórmules:

   bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold italic k bold space bold space bold space bold italic k bold element of bold real numbers bold space bold space bold space

   bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals bold 0

    bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold italic k bold italic x bold space bold space bold space bold italic k bold element of bold real numbers bold space bold space bold space

bold space bold space bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals bold italic k          

      bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold italic x to the power of bold n bold space bold space bold space bold space bold space

bold space bold space bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals bold italic n bold italic x to the power of bold n bold minus bold 1 end exponent

     bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold x bold space bold space bold space

      bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals fraction numerator bold 1 over denominator bold 2 square root of bold x end fraction

       bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold italic e to the power of bold x bold space bold space bold space

    bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals bold italic e to the power of bold x bold space bold space bold space

     bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold italic a to the power of bold x bold space bold space bold space

    bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals bold italic a to the power of bold x bold times bold ln bold space bold italic a bold space bold space bold space

    bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold italic l bold italic n bold space bold italic x

    bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals bold 1 over bold x

      bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold log subscript bold a bold italic x

      bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals fraction numerator bold 1 over denominator bold ln bold space bold a end fraction bold times bold 1 over bold x

     bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold italic s bold italic i bold italic n bold space bold italic x

   bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals bold italic c bold italic o bold italic s bold space bold italic x

    bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold cos bold space bold italic x

  bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals bold minus bold italic s bold italic i bold italic n bold space bold italic x
   bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals bold italic t bold italic g bold space bold italic x   bold italic f bold apostrophe bold left parenthesis bold italic x bold right parenthesis bold equals fraction numerator bold 1 over denominator bold c bold o bold s to the power of bold 2 bold x end fraction

Aquí podeu veure uns quants exemples: 

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