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

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