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Application of Derivatives — Practice Questions

JEE Advanced · Mathematics

Practice questions from Application of Derivatives for JEE Advanced Mathematics. Test your understanding with MCQs and problem sets.

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A diagram illustrating a curve y=f(x), a point P(x1, y1) on the curve, the tangent line at P, and the normal line at P. Labels should clearly indicate the curve, the point, the tangent line, the norma
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Practice Questions — Application of Derivatives

68 questions available from Application of Derivatives for JEE Advanced Mathematics.

Question Types

multiple choicenumerical

Sample Questions

1multiple choice1 marks

Find the slope of the tangent to the curve y = x³ - 3x + 2 at the point (2, 4).

2multiple choice1 marks

The equation of normal to the curve y = x² at the point (1, 1) is:

3multiple choice1 marks

If y = sin(2x), then dy/dx at x = π/6 equals:

4multiple choice1 marks

The angle between the curves y = x² and y = 4 - x² at their point of intersection is:

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Frequently Asked Questions

What topics are covered in Application of Derivatives for JEE Advanced?
Application of Derivatives is an important chapter in JEE Advanced Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Tangent and Normal Lines, Angle Between Curves, Length of Tangent, Normal, Subtangent, and Subnormal, Rate of Change and Related Rates.
How important is Application of Derivatives for JEE Advanced?
Application of Derivatives is a frequently tested chapter in JEE Advanced Mathematics. Questions from this chapter appear regularly in previous year papers. There are 68 practice questions available for this chapter.
How to prepare Application of Derivatives for JEE Advanced?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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