Use Implicit Differentiation and Find Open Intervals
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1. Find the derivative of the function:
h(x) = [ (x-3)/(x^2) ]^2
2. Use implicit differentiation to find dy/dx.
x^2 + 3xy + y^3 = 10.
3. Find the critical numbers (if any) and the open intervals on which the function is increasing or decreasing.
f(x) = (x-1)^2(x-3)
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The expert uses the implicit differentiation and finds open intervals.
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1. h'(x) = -2*[ (x^3 - 9x^2 ...
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