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Application of Derivatives - Class XII Mathematics Quiz

Class XII
Mathematics
Application of Derivatives
13 questions
HARD

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Preview questions

1. What is the derivative of the function f(x) = x^3 - 3x^2 + 4?

3x^2 - 6x · 3x^2 + 6x · 2x - 3 · 6x - 3

2. If f(x) = x^2 + 2x, what is f'(2)?

6 · 4 · 8 · 2

3. The point of inflection occurs when the second derivative is equal to?

Zero · One · Negative one · Infinity

4. For the function f(x) = x^4 - 4x^3, the local maxima occurs at which value of x?

0 · 1 · 2 · 3

5. What does the first derivative test help to determine?

Concavity · Increasing or decreasing behavior · Inflection points · Limits