Please help me with these questions :) Find the critical points, if any, of the

Question

Please help me with these questions :)

Find the critical points, if any, of the following function on the domain. Use a graphing utility to determine whether each critical point corresponds to a local minimum, local maximum, or neither. Find the critical points, if any, of f(x) =3x2 - 5x + 1 on the domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Use a graphing utility to determine whether each critical point corresponds to a local minimum, local maximum, or neither. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Explanation / Answer

dy/dx = 6x-5 = 0
=> x = 5/6
d2y/dx2 = 6
as d2y/dx2 is positive so local minimum
so,

a) A
x = 5/6

b) B
x = 5/6 is local minimum

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