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If y = (5 - x)\(^{-3}\), and \(\frac{dy}{dx}\)

Further Mathematics
WAEC 2019

If y = (5 - x)\(^{-3}\), and \(\frac{dy}{dx}\)

  • A. \(\frac{-15}{(5 - x)^4}\)
  • B. \(\frac{-3}{(5 - x)^4}\)
  • C. \(\frac{3}{(5 - x)^4}\)
  • D. \(\frac{15}{(5 - x)^4}\)
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Correct Answer: Option C
Explanation

y = (5 - x)\(^{-3}\) 

\(\frac{dy}{dx}\) = -3(5 - x)\(^{-4}\)

= \(\frac{-3}{(5 - x)^4}\)

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