Limits, Continuity and Differentiability Part 1

Section: Mathematics

Question : 19 of 100

Marks: +1, -0

Let S be the set of all functions f:[0,1]→R, which are continuous on [0,1] and differentiable on (0,1). Then for every f in S, there exists a c∈(0,1), depending on /f, such that

[8 Jan 2020 Shift 2]

|f(c)−f(1)|<(1−c)|f′(c)|
|f(c)−f(1)|<|f′(c)|
|f(c)+f(1)|<(1+c)|f′(c)|
f(1)−f(c)
1−c
=f′(c)

Validate

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