Practice Icse Class 12 Maths Chapter 8 Application Of Calculus (1)

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6 sample questions

Question 1.
Identify whether f(x) = 2x + 3 is increasing or decreasing.
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Check the sign of the derivative.
Question 2.
What is the local maximum for f(x) = x^2 - 4?
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Set the derivative to zero.
3Question 3.
When is a function considered increasing?
- When its derivative is negative
- When its derivative is positive
- When its derivative is zero
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Think about the behavior of the function.
4Question 4.
A local minimum occurs at a point where the derivative changes from increasing to decreasing.
- True
- False
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Consider the direction of the curve.
Question 5.
Given the function f(x) = 2x^3 - 12x^2 + 18x, find the local maximum and minimum values.
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Derivatives can reveal peaks and valleys.
Question 6.
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.
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Remember to utilize related rates.

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