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


Question

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

Options

A) x(x2-1)

B) 3x(x2-1)

C) 3x2-1

D) 7x6-5x4

The correct answer is C.

Explanation:

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

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