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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(y=\frac{x^7 - x^5}{x^4}\)
y = \(\frac{x^7}{x^4} \div \frac{x^5}{x^4}\)
y = x\(^3\) - x
\(\frac{dy}{dx}\) = 3x\(^2\) - 1
Source: Myschool Past Questions Archive (Record #9288)