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Carilah begin mathsize 14px style fraction numerator d y over denominator d x end fraction end style dari fungsi-fungsi berikut!

begin mathsize 14px style y equals open parentheses 2 x minus 2 close parentheses squared open parentheses x plus 2 close parentheses cubed open parentheses x squared plus 1 close parentheses end style

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

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Sifat turunan fungsi: Jika begin mathsize 14px style f open parentheses x close parentheses equals u open parentheses x close parentheses times v open parentheses x close parentheses end style, maka turunannya adalah

begin mathsize 14px style f apostrophe open parentheses x close parentheses equals u apostrophe open parentheses x close parentheses times v open parentheses x close parentheses plus u open parentheses x close parentheses times v apostrophe open parentheses x close parentheses end style

begin mathsize 14px style y equals open parentheses 2 x minus 2 close parentheses squared open parentheses x plus 2 close parentheses cubed open parentheses x squared plus 1 close parentheses end style

begin mathsize 14px style y equals open parentheses 4 x squared minus 8 x plus 4 close parentheses open parentheses x squared plus 1 close parentheses open parentheses x plus 2 close parentheses cubed y equals open parentheses 4 x to the power of 4 minus 8 x cubed plus 8 x squared minus 8 x plus 4 close parentheses open parentheses x plus 2 close parentheses cubed end style

Turunan dari fungsi begin mathsize 14px style y equals open parentheses 2 x minus 2 close parentheses squared open parentheses x plus 2 close parentheses cubed open parentheses x squared plus 1 close parentheses end style, yaitu

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell y apostrophe end cell equals cell open parentheses 16 x cubed minus 24 x squared plus 16 x minus 8 close parentheses open parentheses x plus 2 close parentheses cubed end cell row blank blank cell plus open parentheses 4 x to the power of 4 minus 8 x cubed plus 8 x squared minus 8 x plus 4 close parentheses times 3 open parentheses x plus 2 close parentheses squared end cell row blank equals cell open parentheses x plus 2 close parentheses squared open parentheses 28 x to the power of 4 minus 16 x cubed minus 8 x squared minus 4 close parentheses end cell end table end style

Dengan demikian, begin mathsize 14px style fraction numerator d y over denominator d x end fraction end style dari fungsi begin mathsize 14px style y equals open parentheses 2 x minus 2 close parentheses squared open parentheses x plus 2 close parentheses cubed open parentheses x squared plus 1 close parentheses end style adalah Error converting from MathML to accessible text.

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