Answer available
Class 12 · Mathematics · Continuity and Differentiability
If y = xx, find dy/dx.
3 marksMediumNumerical
ICSE question bank
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7 questions
- Answer available
Class 12 · Mathematics · Continuity and Differentiability
Differentiate y = log(sin x) with respect to x.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · 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.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Continuity and Differentiability
Differentiate y = sin(x2) with respect to x.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Continuity and Differentiability
State Rolle's theorem and Lagrange's mean value theorem.
3 marksMediumShort answer
- Answer available
Class 12 · Mathematics · Continuity and Differentiability
If x = at2 and y = 2at, find dy/dx.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Continuity and Differentiability
Test the continuity of f(x) = |x| at x = 0, and state whether it is differentiable there.
3 marksMediumNumerical