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Solution for Verify Mean Value Theorem, If F (X) = X3 – 5x2 – 3x in the Interval [A, B], Where a = 1 and B = 3. Find All C ∈ (1, 3) for Which F ′(C) = 0. - CBSE (Science) Class 12 - Mathematics

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Question

Verify Mean Value Theorem, if f (x) = x3 – 5x2 – 3x in the interval [a, b], where a = 1 and b = 3. Find all c ∈ (1, 3) for which f ′(c) = 0.

Solution

The given function f is f (x) = x3 – 5x2 – 3x

f, being a polynomial function, is continuous in [1, 3] and is differentiable in (1, 3) whose derivative is 3x2 − 10x − 3.

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 NCERT Solution for Mathematics Textbook for Class 12 (2012 to Current)
Chapter 5: Continuity and Differentiability
Q: 5 | Page no. 186
Solution Verify Mean Value Theorem, If F (X) = X3 – 5x2 – 3x in the Interval [A, B], Where a = 1 and B = 3. Find All C ∈ (1, 3) for Which F ′(C) = 0. Concept: Mean Value Theorem.
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