Same chapter3 marksDifficulty: Medium
If y = xx, find dy/dx.
Continuity and Differentiability
3 marksDifficulty: Medium
Differentiate y = sin(x2) with respect to x.
Original Khojo Papers practice question — not from a past board paper.
Answer
dy/dx = 2x cos(x2)
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
By the chain rule, the derivative of the outer function evaluated at the inner one is multiplied by the derivative of the inner function.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
Find the value of k for which f(x) = kx2 for x ≤ 2 and f(x) = 3 for x > 2 is continuous at x = 2.
Continuity and Differentiability
Same chapter3 marksDifficulty: Medium
If x = at2 and y = 2at, find dy/dx.
Continuity and Differentiability
Same chapter3 marksDifficulty: Medium
Test the continuity of f(x) = |x| at x = 0, and state whether it is differentiable there.
Continuity and Differentiability
Same chapter3 marksDifficulty: Medium
State Rolle's theorem and Lagrange's mean value theorem.
Continuity and Differentiability
Same chapter3 marksDifficulty: Medium
Differentiate y = log(sin x) with respect to x.
Continuity and Differentiability