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Tentukan antiturunan dari f ( x ) = 5 x 3 1 ​

Tentukan antiturunan dari 

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F. Ayudhita

Master Teacher

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Sehingga, antiturunan dari adalah Maka, antiturunan dari adalah

begin mathsize 14px style F left parenthesis x right parenthesis equals x to the power of begin inline style 4 over 3 end style end exponent f apostrophe left parenthesis x right parenthesis equals 4 over 3 x to the power of begin inline style 1 third end style end exponent end style 

Sehingga, antiturunan dari begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals 4 over 3 x to the power of begin inline style 1 third end style end exponent end style adalah begin mathsize 14px style F left parenthesis x right parenthesis equals x to the power of begin inline style 4 over 3 end style end exponent plus C end style 

Maka, antiturunan dari begin mathsize 14px style f left parenthesis x right parenthesis equals 5 x to the power of begin inline style 1 third end style end exponent end style adalah

size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 5 size 14px x to the power of begin mathsize 14px inline style 1 third end style end exponent size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 5 begin mathsize 14px style left parenthesis 3 over 4 right parenthesis end style begin mathsize 14px style left parenthesis 4 over 3 x to the power of begin inline style 1 third end style end exponent right parenthesis end style size 14px plus size 14px C F size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 15 over size 14px 4 size 14px x to the power of begin mathsize 14px inline style 4 over 3 end style end exponent size 14px plus size 14px C size 14px F size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals fraction numerator size 14px 15 size 14px x root index size 14px 3 of size 14px x over denominator size 14px 4 end fraction size 14px plus size 14px C   

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