Tenutkan turunan pertama fungsi h(x)=(1/x^2-4/x^4)(3x^2+27)!
Matematika
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Pertanyaan
Tenutkan turunan pertama fungsi h(x)=(1/x^2-4/x^4)(3x^2+27)!
1 Jawaban
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1. Jawaban amaliaafl
h(x) = (x^-2 - 4.x^-4)(3x^2 + 27)
u = (x^-2 - 4.x^-4) » u' = (-2.x^-3 + 16.x^-5)
v = (3x^2 + 27) » v' = 6x
h'(x) = u'v + uv'
= (-2.x^-3 + 16.x^-5)(3x^2 + 27) + (x^-2 - 4.x^-4)(6x)
= (-2/x³ + 16/x^5)(3x² + 27) + (1/x² - 4/x⁴)(6x)
cmiiw :)