f(x) = (x-2)^3 / x^2
find the relative max and min.
so obviously i would bring the x^2 up.
this is what i have so far, = x^2(x-2)^3-(x-2)^3(x^2)
=x^2(3)(x-2)^2-(x-2)^3(2)(x) is this correct so far?
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If you wish to use the product rule rather than the quotient rule by bringing the denominator up as a factor, then you need to negate its exponent.
let me re-write this.
x^2(x-2)^3 - (x-2)^3-(x^2) / x^4
and the next step, i believe is the derivative right? but i am a bit confused with (x-2)^3. is the derivative of this 3(x-2)^2 or is it just 3x^2?
We are given the function:
Using the quotient rule, we find:
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