Same chapter3 marksDifficulty: Medium
Differentiate y = (2x + 1)/(x − 3) with respect to x.
Limits and Derivatives
3 marksDifficulty: Medium
Find the derivative of x3 from first principles.
Original Khojo Papers practice question — not from a past board paper.
Answer
3x2
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The derivative is the limit as h tends to 0 of [(x + h)3 − x3]/h = [3x2h + 3xh2 + h3]/h = 3x2 + 3xh + h2, which tends to 3x2.
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