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Verify Rolle’S Theorem for the Function F (X) = X2 + 2x – 8, X ∈ [– 4, 2]. - CBSE (Science) Class 12 - Mathematics

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Question

Verify Rolle’s theorem for the function f (x) = x2 + 2x – 8, x ∈ [– 4, 2].

Solution

The given function,f (x) = x2 + 2x – 8, being a polynomial function, is continuous in [−4, 2] and is differentiable in (−4, 2).

Hence, Rolle’s Theorem is verified for the given function.

 
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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 5: Continuity and Differentiability
Q: 1 | Page no. 186
Solution Verify Rolle’S Theorem for the Function F (X) = X2 + 2x – 8, X ∈ [– 4, 2]. Concept: Mean Value Theorem.
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