Find f''(2) of function f(x)=xsin(pi/x)

1 answer

product rule

f'(x) = xcos(π/x)(-π/x^2) + sin(π/x)
= (-π/x)cos(π/x) + sin((π/x)
f''(x) = (-π/x)(-sin(π/x))(-π/x^2) - (π/x^2)(cos(π/x)) + cos(π/x)(-π/x^2)

simplify if needed
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