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Carilah turunan dari  !

Carilah turunan dari begin mathsize 14px style y equals 4 times left parenthesis 2 x plus 1 right parenthesis times x to the power of 4 end style !

Jawaban:

Ingat:

begin mathsize 14px style f left parenthesis x right parenthesis equals a x to the power of n comma space maka space f apostrophe left parenthesis x right parenthesis equals a times n x to the power of n minus 1 end exponent end style 

Diketahui fungsi begin mathsize 14px style y equals 4 times left parenthesis 2 x plus 1 right parenthesis times x to the power of 4 end style , maka diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 4 times left parenthesis 2 x plus 1 right parenthesis times x to the power of 4 end cell row blank equals cell 8 x to the power of 5 plus 4 x to the power of 4 end cell row cell y apostrophe end cell equals cell 8 times 5 x to the power of 5 minus 1 end exponent plus 4 times 4 x to the power of 4 minus 1 end exponent end cell row blank equals cell 40 x to the power of 4 plus 16 x cubed end cell end table end style 

Jadi, turunan fungsi begin mathsize 14px style y equals 4 times left parenthesis 2 x plus 1 right parenthesis times x to the power of 4 end style adalah begin mathsize 14px style y apostrophe equals 40 x to the power of 4 plus 16 x cubed end style.

 

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