Answer available
Class 12 · Mathematics · Continuity and Differentiability
If y = xx, find dy/dx.
3 marksMediumNumerical
Class 12 · ICSE · Mathematics
Continuity and Differentiability
Continuity, differentiability, derivatives of composite, implicit, inverse trigonometric, exponential and logarithmic functions, and Rolle's and Lagrange's theorems.
- Questions
- 7
- PYQs
- 0
- Topics
- 0
Syllabus mapping: ISC syllabus (CISCE)
Questions
7 questions in this chapter.
- 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