Continuity and DifferentiabilityHard
Question
If f(x) = |x||sinx|, then f′(π/4) is equal to
Options
A.
B.
C.
D.
Solution
f(x) = |x||sinx|
at x = π/4, |x| = x and |sinx| = sinx
∴ f(x) = xsinx
⇒ ln(f(x)) = sinx . lnx
⇒
f′(x) = cosx lnx + 
⇒ f′(π/4) =
at x = π/4, |x| = x and |sinx| = sinx
∴ f(x) = xsinx
⇒ ln(f(x)) = sinx . lnx
⇒
f′(x) = cosx lnx + ⇒ f′(π/4) =
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