SOLUTION: HOW DO YOU DETERMINE THE TURNING POINTS OF A GRAPH GIVEN THE FUNCTION: F(X)=2(X-3)(X^2+4)^3

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Question 565454: HOW DO YOU DETERMINE THE TURNING POINTS OF A GRAPH GIVEN THE FUNCTION: F(X)=2(X-3)(X^2+4)^3
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Take the derivative of f with respect to x (I used the product rule):



Set it equal to zero and find all real x that satisfy. Once you have done this, check to make sure that the sign of f'(x) actually changes.