Differentiate y = sin(x2) with respect to x.
Continuity and Differentiability
Original Khojo Papers practice question — not from a past board paper.
dy/dx = cot x
No citable source has been recorded for this record. Treat it as practice material, not as fact.
By the chain rule the derivative is (1/sin x) × cos x = cot x.
From the same topic and chapter, at a similar level.
Differentiate y = sin(x2) with respect to x.
Continuity and Differentiability
State Rolle's theorem and Lagrange's mean value theorem.
Continuity and Differentiability
If x = at2 and y = 2at, find dy/dx.
Continuity and Differentiability
Test the continuity of f(x) = |x| at x = 0, and state whether it is differentiable there.
Continuity and Differentiability
If y = xx, find dy/dx.
Continuity and Differentiability
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