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Find the derivative of \(y=\frac{x^7 - x^5}{x^4}\)

Mathematics
JAMB 2008

Find the derivative of \(y=\frac{x^7 - x^5}{x^4}\)

  • A. x(x2-1)
  • B. 3x(x2-1)
  • C. 3x2-1
  • D. 7x6-5x4
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Correct Answer: Option C
Explanation

\(y=\frac{x^7 - x^5}{x^4}\\
y = \frac{x^7}{x^4} \div \frac{x^5}{x^4}\\
y = x^3 - x \\
\frac{dy}{dx} = 3x^2 - 1\)

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free