How do you find the exact relative maximum and minimum of the polynomial function of #f(x) = x^3 - 3x^2 - x + 1#?
1 Answer
Apr 27, 2018
The first derivative finds the inflection points. The second derivative indicates whether it is a maximum or minimum.
Explanation:
Suppose f(x) is a function of x that is twice differentiable at a stationary point x_0.
1. If
2. If
Weisstein, Eric W. "First Derivative Test." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/FirstDerivativeTest.html
Weisstein, Eric W. "Second Derivative Test." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SecondDerivativeTest.html
Inflection points at:
Local min/max from: