Question

Draw the graph of f(x)=3x4+4x3−12x2+12 and enter all extreme points. Also state whether they are minimum or maximum points.please show a figure and detailed answer

Answer 1

Solution

Given the function

$f(x)=3x^4+4x^3-12x^2+12$

The graph of the function is shown below

The extreme points are

$\begin{gathered} Minimum(-2,-20) \\ Maximum(0,\text{ 12\rparen} \\ Minimum(1,\text{ 7\rparen} \\ Global\text{ minimum \lparen-2, -20\rparen} \end{gathered}$