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Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityDifferentiabilityHard2 minPYQ_2021
MathematicsHardsingle choice

Letf:0,0,3be a function defined byfx=maxsint:0tπ, x0,π2+cosx, x>π. Then which of the following is true ?

Question diagram: Let f : 0 , ∞ → 0 , 3 be a function defined by f x = max sin

Options:

Answer:
B
Solution:

Graph of maxsint:0tx in x0,π

& the graph of y=2+cosx for xπ,

So graph of

fx=sinx,0xπ21,π2xπ2+cosx,x>π

fx is differentiable everywhere in 0,

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Differentiability
2mℹ️ Source: PYQ_2021

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