Important Questions of Continuity and Differentiability Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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581. Verify Rolle's Theorem for the function x2 + 2 in [-2, 2]
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582. Verify Rolle's Theorem for the function x2 + 2 x - 8 in [-4, 2]
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583. Verify Rolle's Theorem for the function f(x) = x(x - 1)2 in [0, 1]. 
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584. Verily space Rolle apostrophe straight s space theorem space for space the space function
straight f left parenthesis straight x right parenthesis equals straight x cubed over 3 minus fraction numerator 5 straight x squared over denominator 3 end fraction plus 2 straight x comma space straight x element of left square bracket 0 comma 3 right square bracket
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585. Verily space Rolle apostrophe straight s space theorem space for space the space function space straight f left parenthesis straight x right parenthesis equals 8 straight x minus straight x squared space in space left square bracket 0 comma space 8 right square bracket
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586. Verify Rolle's Theorem for the function :f(x) = x2 in the interval [- 1, 1]
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587. Verify Rolle's Theorem for the function : f(x) = x2 - 1 in the interval [- 1, 1]
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588. Verify Rolle's Theorem for the function :f(x)= x2 - 4 x + 3 in the interval 1 ≤ x ≤ 3.
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589. Verify Rolle's Theorem for the function : x2 - 5 x + 4 on [1, 4]
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590.
Verify Rolle's Theorem for the function f(x) = x (x2-4) in the interval [-2, 2].
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