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Explain why Lagrange’s mean value theorem is not applicable to the following functions in the respective intervals: f(x)=|3x+1|,x∈[-1,3] - Mathematics

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प्रश्न

Explain why Lagrange’s mean value theorem is not applicable to the following functions in the respective intervals:

`f(x) = |3x + 1|, x ∈ [-1, 3]`

बेरीज

उत्तर

f(x) = |3x + 1|, x ∈ [-1, 3]

The function is not differentiable at x = `(-1)/3`

So Lagrange’s mean value theorem is not applicable in the given interval.

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Mean Value Theorem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Applications of Differential Calculus - Exercise 7.3 [पृष्ठ २१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 7 Applications of Differential Calculus
Exercise 7.3 | Q 3. (ii) | पृष्ठ २१

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