Let f : [0,∞) → be a function defined by f(x) = { max{sint: 0≤ t ≤x}, 0≤x≤π, 2 + cos x, x > π
Then which of the following is true?
Let f : [0,∞) → be a function defined by f(x) = { max{sint: 0≤ t ≤x}, 0≤x≤π, 2 + cos x, x > π
Then which of the following is true?
Option 1 -
f is differentiable everywhere in (0,∞)
Option 2 -
f is not continuous exactly at two points in (0,∞)
Option 3 -
f is continuous everywhere but not differentiable exactly at two points in (0,∞)
Option 4 -
f is continuous everywhere but not differentiable exactly at one point in (0,∞)
Asked by Shiksha User
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1 Answer
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Correct Option - 4
Detailed Solution:f (x)= {sinx, 0? x? }
f' (x)= {cosx, 0
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