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Class 12 Maths Practice Test - Mean Value Theorem
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Avg score: 57% • Most missed: “Function f should be _____ on [a,b] according to Rolle’s theorem.”
Class 12 Maths Practice Test - Mean Value Theorem
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15 Questions

1. What are/is the conditions to satify Lagrange’s mean value theorem?
2. Function f is differential on (a,b) according to Rolle’s theorem.
3. What is the relation between f(a) and f(h) according to another form of Rolle’s theorem?
4. What is the formula for Lagrange’s theorem?
5. What is the formula for Lagrange’s theorem?
6. Function f should be _____ on [a,b] according to Rolle’s theorem.
7. Is Rolle’s theorem applicable to f(x) = tan x on [ \(\frac {\pi }{4}, \frac {5\pi }{4}\) ]?
8. Another form of Rolle’s theorem for the differential condition is _____
9. Function f is differentiable on [a,b] to satisfy Lagrange’s mean value theorem.
10. Does Rolle’s theorem applicable if f(a) is not equal to f(b)?
11. Function f is not continuous on [a,b] to satisfy Lagrange’s mean value theorem.
12. Find ’C’ using Lagrange’s mean value theorem, if f(x) = ex, a = 0, b = 1.
13. Function f is differentiable on [a,b] to satisfy Lagrange’s mean value theorem.
14. Rolle’s theorem is a special case of _____
15. Does Rolle’s theorem applicable if f(a) is not equal to f(b)?

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