Class 11 · ICSE · Mathematics

Limits and Derivatives

Limits of algebraic and trigonometric functions, the derivative from first principles, and the rules of differentiation.

Questions

8 questions in this chapter.

Answer available
Class 11 · Mathematics · Limits and Derivatives
Differentiate y = (2x + 1)/(x − 3) with respect to x.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Limits and Derivatives
Differentiate y = e^x sin x with respect to x.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Limits and Derivatives
Evaluate the limit of (x² − 4)/(x − 2) as x approaches 2.
2 marksEasyNumerical
Answer available
Class 11 · Mathematics · Limits and Derivatives
Evaluate the limit of (1 − cos x)/x² as x approaches 0.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Limits and Derivatives
Differentiate y = x⁴ − 3x² + 7 with respect to x.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Limits and Derivatives
Differentiate y = x² sin x with respect to x.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Limits and Derivatives
Evaluate the limit of (sin x)/x as x approaches 0.
2 marksEasyNumerical
Answer available
Class 11 · Mathematics · Limits and Derivatives
Find the derivative of x³ from first principles.
3 marksMediumNumerical