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)' = nx^n-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.