Same chapter3 marksDifficulty: Medium
If y = xx, find dy/dx.
Continuity and Differentiability
3 marksDifficulty: Medium
If x = at2 and y = 2at, find dy/dx.
Original Khojo Papers practice question — not from a past board paper.
Answer
dy/dx = 1/t
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
dx/dt = 2at and dy/dt = 2a, so dy/dx = (dy/dt) ÷ (dx/dt) = 2a ÷ 2at = 1/t.
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
Test the continuity of f(x) = |x| at x = 0, and state whether it is differentiable there.
Continuity and Differentiability
Same chapter3 marksDifficulty: Medium
Differentiate y = sin(x2) with respect to x.
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