Plus Two Maths Chapter Wise Questions and Answers Chapter 5 Continuity and Differentiability

Plus Two Maths Chapter Wise Questions and Answers Chapter 5 Continuity and Differentiability

Kerala Plus Two Maths Chapter Wise Questions and Answers Chapter 5 Continuity and Differentiability

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Question 1.

1. Verify mean value theorem for the function f(x) = (x – 2)² in [1, 4].
2. Find a point on the curve y = (x – 2)² at which the tangent is parallel to the chord joining the points (1, 1) and (4, 2)
3. Find a point on the above curve at which the tangent is parallel to the x-axis.

Answer:
1. f(x) = (x – 1)², x ∈ [1, 4]
f(x) is continuous in [1, 4]
f'(x) = 2(x – 2) is differentiable in [1, 4]
Then there exists c ∈ [1, 4] so that

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