Differentiate f(x) with respect to x. Find the stationary value and state if it is a maxima, minima or point of inflection f(x) = 6x^3 + 2x^2 + 1

differentiate 6x^3 + 2x^2 + 1 = 18x^2 + 4x

To determine stationary point set second derivative to zero

2nd derivative =36x + 4

36x + 4 = 0 therefore x = -4/36 = -1/9

x is -ve therefore point x = -1/9 is a maxima