find the derivative of f(x) = x^3 + 2x^2 - 5x - 6. Find all stationary points of the function.
Calculate the derivative using the standard rules, in particular (xn)' = nxn-1.f(x)' = 3x2 + 4x - 5Stationary points are where the derivative is equal to 0, i.e. all x such that f(x)' = 0, so solving the equation3x2 + 4x - 5 = 0gives usx1 = (- 2 - sqrt(19)) / 3x2 = (- 2 + sqrt(19)) / 3that means x1and x2 are stationary points.
GM
