Find all values of x where the derivative of the function f(x)= | x ^2 − 7 x + 6 |. is not defined. List your answers separated by commas.

Answer 1

To find where the derivative is not defined, first find the derivate of the function:

d/dx(|x²-7x+6|) = (x²-7x+6)(2x-7)/|x²-7x+6|

So where x does not exist is when |x²-7x+6| = 0.

Solving for x:

|x²-7x+6| = 0

x²-7x+6 = 0

Factoring, we get (x-1)(x-6) = 0.

So x = 1, x = 6.

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