….f(x) = (7x² + 1)⁵f'(x) = …​

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….f(x) = (7x² + 1)⁵f'(x) = …​

turunan

f (x) = (7x² + 1)⁵

misal u = 7x² + 1

         u' = 14x

f' (x) = 5 . u⁵ ⁻ ¹ . u'

f' (x) = 5 (7x² + 1)⁴ . 14x

f' (x) = 70x (7x² + 1)⁴

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Pakai aturan rantai:

f(x) = (7x² + 1)⁵

misal:

  • a = 7x² + 1
  • a' = 2(7x²-¹) + 0 = 2(7x¹) = 14x

f(x) = (a)⁵

f'(x) = 5(a)⁵-¹ × a'

f'(x) = 5(7x² + 1)⁴ × 14x

f'(x) = (5 × 14x)(7x² + 1)⁴

f'(x) = 70x(7x² + 1)