Differentiation Questions Gcse

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Discover the Essential Guide to Corbettmaths Practice Questions on Level 2 Further Maths Differentiation

Master Differentiation with Comprehensive Practice

Differentiation, a crucial concept in mathematics, enables us to determine the rate of change of a function. Enhance your understanding of differentiation through the exceptional Corbettmaths Practice Questions for Level 2 Further Maths.

Unlock the Secrets of Trigonometric and Algebraic Expressions

These practice questions delve into the differentiation of algebraic and trigonometric expressions, providing invaluable experience in calculating rates of change. Master the techniques for differentiating expressions like x^4/3, x^2(x-1)^2, and (x^2+1)/(x-2).

Solution Keys for Guided Improvement

Complete solutions are available for all practice questions, enabling you to check your progress and identify areas for improvement. This comprehensive approach ensures a deep understanding of differentiation principles and their application.

Questions and Answers:

Question 1: Differentiate the following expressions with respect to x

a) y = x^4/3

b) y = x^2(x-1)^2

c) y = (x^2+1)/(x-2)

Answers:

a) dy/dx = (4/3)x^(1/3)

b) dy/dx = 2x(3x-4)

c) dy/dx = (4x^3-2x)/(x-2)^2

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