Pertanyaan

Tentukan turunan pertama fungsi-fungsi berikut. b. g ( x ) = ( 8 x 3 − x 2 + 3 x − 5 ) − 5

Tentukan turunan pertama fungsi-fungsi berikut.

b. $g (x) = (8 x^{3} - x^{2} + 3 x - 5)^{- 5}$

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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$begin mathsize 14px style g apostrophe open parentheses x close parentheses equals negative 5 open parentheses 8 x cubed minus x squared plus 3 x minus 5 close parentheses to the power of negative 6 end exponent open parentheses 24 x squared minus 2 x plus 3 close parentheses space space space space space space space space equals open parentheses negative 120 x squared plus 10 x minus 15 close parentheses open parentheses 8 x cubed minus x squared plus 3 x minus 5 close parentheses to the power of negative 6 end exponent space space space space space space space space equals fraction numerator negative 120 x squared plus 10 x minus 15 over denominator open parentheses 8 x cubed minus x squared plus 3 x minus 5 close parentheses to the power of 6 space space space space space space end fraction end style$