Find the Critical Points 12x^2-176x+484

Problem

12*x2−176*x+484

Solution

1. Identify the function ƒ(x)=12*x2−176*x+484

2. Find the derivative of the function with respect to x using the power rule.

(d(12)*x2−176*x+484)/d(x)=24*x−176

3. Set the derivative equal to zero to find the critical points, as critical points occur where ƒ(x)′=0 or is undefined.

24*x−176=0

4. Solve for x by isolating the variable.

24*x=176

5. Simplify the fraction by dividing both sides by 24.

x=176/24

6. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 8.

x=22/3

Final Answer

x=22/3

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