Continuity and DifferentiabilityHard
Question
Let f(x) = cos x & H (x) = 
, then -
, then -Options
A.H(x) is continuous & derivable in [0, 3]
B.H(x) is continuous but not derivable at x = π/2
C.H(x) is neither continuous nor derivable at x = π/2
D.Maximum value of H(x) in [0, 3] is 1
Solution
H(x) = 
H′
= - sin x = -1
H′
= - 1
Hence H(x) is continuous and derivable in [0, 3]
H′
= - sin x = -1H′
= - 1Hence H(x) is continuous and derivable in [0, 3]
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