f(x)=7+9x^2-6x^3 Find the local maximum and minimum values of f using both the First and Second Derivative Tests.

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You need to find derivative of function and then you need to investigate the intervals where the derivative is positive and negative such that:

`f'(x) = 18x - 18x^2`

You need to solve the equation f'(x) = 0 such that:

`f'(x) = 0 =gt 18x - 18x^2 = 0`

You should factor out 18x such that:

`18x(1 - x) = 0`

You need to solve equations 18x...

(The entire section contains 181 words.)

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