The Function f satisfying

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Question

The function f satisfying

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Solution

Correct option is

The function in (a), (c), (d) satisfying hypothesis of Lagrange’s Mean value theorem so there is c ∈ (a, b)

differentiable on (1, 2) but not continuous at x = 1 and x = 2 as

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SIMILAR QUESTIONS

Q1

If the tangent at (1, 1) on y² = x(2 – x)² meets the curve again at P, is

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Q2

The tangent to the curve

At the point corresponding to is

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Q3

The points of contact of the vertical tangents to x = 2 – 3 sinθ, y = 3 + 2 cos θ are

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Q4

the in this interval

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Q5

The set of all values of a for which the function

decreases for all real x is

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Q6

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Q7

The length of a longest interval in which the function 3 sin x – 4Sin³x is increasing is

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Q8

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Q9

The equation e^x^–¹ + x – 2 = 0 as

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Q10

Suppose f is differentiable on R and a ≤ f’(x) ≤ b for all x ∈ R where a, b> 0. If f (0) = 0, then

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