Differentiate \(\frac{5x^ 3+x^2}{x}\), x ≠ 0 with respect to x.
FURTHER MATHEMATICS
WAEC 2022
Differentiate \(\frac{5x^ 3+x^2}{x}\), x ≠ 0 with respect to x.
- A. 10x + 1
- B. 10x + 2
- C. x(15x + 1)
- D. x(15x + 2)
Correct Answer: A. 10x + 1
Explanation
\(\frac{5x^ 3+x^2}{x}\) → \(\frac{5x^ 3}{x} + \frac{x^2}{x}\)
5x\(^2\) + x
Then dy/dx = 10x + 1
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