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Mathematics Part I - Application of Derivatives Quiz
Class XII
Mathematics
Application of Derivatives
14 questions
MEDIUM
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Preview questions
1. What is the derivative of the function f(x) = x^3?
3x^2 · 2x^3 · x^2 · 3x
2. The slope of the tangent to the curve y = x^2 at the point (2, 4) is:
2 · 4 · 8 · 0
3. If f(x) = x^3 - 3x^2 + 4, then f'(x) is:
3x^2 - 6x · 3x^2 + 6x · 6x - 3 · 3x^2 - 4
4. The maximum value of the function f(x) = -x^2 + 4x + 1 occurs at:
x = 2 · x = 1 · x = 0 · x = 4
5. The point of inflection of the curve occurs where:
f'(x) = 0 · f''(x) = 0 · f(x) = 0 · f'(x) is undefined
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