To verify Rolle-s Theorem for f x defined in - a - b - we need to showA- f b -0B- fa-fb-0C- fa-fbD- f a -0

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Derivative of One Function w.r.t Another

To verify Rol...

Question

To verify Rolle's Theorem for f(x) defined in [a, b], we need to show

f(b) = 0

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f(a) + f(b) = 0

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f(a) = f(b)

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f(a) = 0

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When M.V.T is verified for f(x) on [a, b] then there exists c such that

f (x) = |\begin{matrix} 0 & x - a & x - b \\ x + a & 0 & x - c \\ x + b & x + c & 0 \end{matrix}|

f (x) = x

f (a + b) = f (a) + f (b)

f (2 a) = 2 f (a)

f (- a) = - f (a)

g (x)

g (1) \neq 0

g (- 1) \neq 0

f (x) = \frac{x^{2} - 1}{g (x)}

[- 1, 1]

g (x)

(- 1, 1)

f (a) = f (b)

x ϵ (a, b)

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