How do I differentiate f(x) = cos(x)/x?

To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v2.

U = cos(x) which differentiates to -sin(x) so u'= -sin(x)

v = x so v' = 1

Therefore, dy/dx = ( -xsin(x) - cos(x) ) / x2

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