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Turunan pertama dari fungsi dibawah ini :

straight f left parenthesis straight x right parenthesis equals left parenthesis straight x squared plus 3 straight x plus 4 right parenthesis to the power of 5 

 

N. Puspita

Master Teacher

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Pembahasan

Dengan aturan rantai menentukan turunan fungsi aljabar.

f open parentheses x close parentheses equals open square brackets u open parentheses x close parentheses close square brackets to the power of n space rightwards arrow space f apostrophe open parentheses x close parentheses equals n times open square brackets u open parentheses x close parentheses close square brackets to the power of n minus 1 end exponent times u apostrophe open parentheses x close parentheses

Misalkan straight y equals space straight f left parenthesis straight x right parenthesis maka:

table attributes columnalign right center left columnspacing 0px end attributes row straight y equals cell left parenthesis straight x squared plus 3 straight x plus 4 right parenthesis to the power of 5 space end cell row cell y apostrophe end cell equals cell 5 left parenthesis straight x squared plus 3 straight x plus 4 right parenthesis to the power of 4 times left parenthesis 2 straight x plus 3 right parenthesis space end cell row blank equals cell left parenthesis 10 straight x plus 15 right parenthesis left parenthesis straight x squared plus 3 straight x plus 4 right parenthesis to the power of 4 end cell end table  

Jadii, turunan pertama straight f left parenthesis straight x right parenthesis equals left parenthesis straight x squared plus 3 straight x plus 4 right parenthesis to the power of 5 adalah left parenthesis 10 straight x plus 15 right parenthesis left parenthesis straight x squared plus 3 straight x plus 4 right parenthesis to the power of 4.  

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