Find the Critical Points x^3-12x

Problem

x3−12*x

Solution

1. Define the function and identify the goal. To find the critical points of ƒ(x)=x3−12*x we must find the values of x where the first derivative is equal to zero or undefined.

2. Differentiate the function with respect to x using the power rule.

(d(x3)−12*x)/d(x)=3*x2−12

3. Set the derivative to zero to find the stationary points.

3*x2−12=0

4. Solve for x by isolating the variable.

3*x2=12

x2=4

x=±2

Final Answer

x=−2,2

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