Mathematics · Calculus

The function φ(x) = (x - a)m (x - b)n on the interval [a, b] satisfies the conditions of Rolle's Theorem when:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1m > n
2a < b
3m, n are positive integers and a < b✓
4m, n are positive integers

Correct answer

m, n are positive integers and a < b

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The function φ(x) = (x - a)m (x - b)n on the interval [a, b] satisfies the conditions of Rolle's Theorem when:

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The function φ(x) = (x - a)m (x - b)n on the interval [a, b] satisfies the conditions of Rolle's Theorem when:

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