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Limits and Derivatives — CBSE Class 11

Master Limits and Derivatives for CBSE Class 11. Free verified step-by-step solutions, 4 past exam problems, formulas, and markschemes.

Exam Questions & Step-by-Step Markschemes (4 Problems)

Question 1 • 2023 4 Marks

          Find the derivative of f(x) = \sin x from first principles.
        

Answer: f'(x) = \cos x

Question 2 • 2024 3 Marks

          Evaluate: \lim_{x \to 0} \frac{1 - \cos 4x}{x^2}
        

Answer: 8

Question 3 • 2023 5 Marks

          Find the derivative of f(x) = \sqrt{\sin x} with respect to x from first principles.
        

Answer: f'(x) = \frac{\cos x}{2\sqrt{\sin x}}

Question 4 • 2024 4 Marks

          Find the derivative of f(x) = \tan(2x + 1) with respect to x from first principles.
        

Answer: f'(x) = 2\sec^2(2x + 1)

Solve with step hints, reveal official M1/A1 examiner marking schemes, and evaluate with scratchpad tools.