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Finding a 12th Derivative

Find the derivative of f(x) = (x^2 -1)^3 /(2x^2).
Find the 12th derivative of f(x) = cos x.

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Find the derivative of f(x) = (x^2 -1)^3 /(2x^2)
Pull out 1/2:
f(x) = (1/2) * (x^2 -1)^3 /(x^2)
Use the product rule, with u = (x^2-1)^3 and v = (x^2)^-1, and don't forget the 1/2:
f'(x) = (1/2) * (uv' + ...

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