Mean Value Theorem Mathematics Questions — 7+ MCQs & PYQs | ExamTest.live

ExamTest.live has 7 Mean Value Theorem questions from Mathematics Mock Test - 1, covering years 2026–2026.

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Mean Value Theorem — Mathematics Mock Test - 1(1–7 of 7)

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Q1mediummcqMathematicsMathematics Mock Test - 62026

22% accuracy

The value of c in (0, 2) satisfying the Mean Value Theorem for the function f (x) = x (x - 1)^{2}, x \in [0, 2] is equal to:

Q2mediummcqMathematicsMathematics Mock Test - 12026

18% accuracy

The value of ' c' in Rolle's Theorem for the function f (x) = cos \frac{x}{2} on the interval [π, 3 π] is:

Q3mediummcqMathematicsMathematics Mock Test - 12026

9% accuracy

For the function f (x) = x + \frac{1}{x}, x \in [1, 3], the value of c for Lagrange's Mean Value Theorem is:

Q4mediummcqMathematicsMathematics Mock Test - 52026

0% accuracy

Let the function f : [- 7, 0] \to R be continuous on [- 7, 0] and differentiable on (- 7, 0) . If f (- 7) = - 3 and f^{'} (x) \leq 2 for all x \in (- 7, 0), then for all such functions f, f (- 1) + f (0) lies in the interval:

Q5mediummcqMathematicsMathematics Mock Test - 22026

0% accuracy

If f and g are differentiable functions in (0, 1) satisfying f (0) = 2 = g (1), g (0) = 0 and f (1) = 6, then for some c \in (0, 1) :

Q6mediummcqMathematicsMathematics Mock Test - 92026

0% accuracy

The value of c in Lagrange's theorem for the function ∣ x ∣ in the interval [- 1, 1] is:

Q7mediummcqMathematicsMathematics Mock Test - 82026

Let f be a twice differentiable function on (1, 6) . If f (2) = 8, f^{'} (2) = 5, f^{'} (x) \geq 1 and f^{''} (x) \geq 4 for all x \in (1, 6), then:

How many Mean Value Theorem questions come in Mathematics Mock Test - 1?▼

Our database has 7 Mean Value Theorem questions from Mathematics Mock Test - 1 covering 2026 to 2026.

What difficulty are Mathematics Mock Test - 1 Mean Value Theorem questions?▼

The 7 Mathematics Mock Test - 1 Mean Value Theorem questions include 0 easy, 7 medium and 0 hard level questions.

Where can I find more Mean Value Theorem questions for other exams?▼

Visit /tag/mean-value-theorem to see all Mean Value Theorem questions across all exams including Mathematics Mock Test - 1, AIEEE, AIEEE 2007.