Evaluate the derivative of the function at the given point U

Evaluate the derivative of the function at the given point. Use a graphing utility to verify your result. (If an answer is undefined, enter undefined. Round your answer to three decimal places.) f(x)= 3/(x2-2x)2 (3, 1/3)

Solution

f(x) = 3*(x^2 - 2x)^(-2)

Thus:

f\'(x) = 3*(2x-2)*(-2)*(x^2 - 2x)^(-3)

f\'(3) = 3*4*(-2)*3^(-3) = -8/9