1 - ICSE Class 12 Maths Chapter 8 Application of Calculus
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Practice Questions
Test your understanding with targeted questions
Identify whether f(x) = 2x + 3 is increasing or decreasing.
💡 Hint: Check the sign of the derivative.
What is the local maximum for f(x) = x^2 - 4?
💡 Hint: Set the derivative to zero.
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Interactive Quizzes
Quick quizzes to reinforce your learning
When is a function considered increasing?
💡 Hint: Think about the behavior of the function.
A local minimum occurs at a point where the derivative changes from increasing to decreasing.
💡 Hint: Consider the direction of the curve.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given the function f(x) = 2x^3 - 12x^2 + 18x, find the local maximum and minimum values.
💡 Hint: Derivatives can reveal peaks and valleys.
For a cone with radius r and height h, express volume V as a function of r and find the rate of change when r is changing.
💡 Hint: Remember to utilize related rates.
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