# Finding a 12th Derivative

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

Find the 12th derivative of f(x) = cos x.

https://brainmass.com/math/derivatives/finding-a-12th-derivative-146033

#### Solution Preview

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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