The value of c- for which the function f x - x 2-2 x -8- x -4-2- satisfies Rolle-s theorem- isA- 2B- -1C- 1D- -2

The correct option is B 1 f’(x) = 0 ⇒ 2x + 2 = 0 ⇒ x = – 1 ∴ c = – 1 ...

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Geometrical Explanation of Rolle's Theorem

The value of ...

Question

The value of c, for which the function $f (x) = x^{2} + 2 x - 8, x ϵ [- 4, 2]$ satisfies Rolle’s theorem, is

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-1

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Verify Rolle's theorem for the function $f (x) = x^{2} + 2 x - 8, x ϵ [- 4, 2]$

f (x) = x^{2} + 2 x - 8, x \in [- 4, 2]

f (x) = x (x + 3) e^{- (1 / 2) x}

f (x) = x^{2} + 2, x ϵ [- 2, 2]

c

[- 1, 3]

f (x) = x^{2} - 2 x - 8

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