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A curve is given by y=5x2x2. Find the equatio...

A curve is given by y=5x2x2. Find the equation of its line of symmetry.

A.

x=418

B.

x=14

C.

x=14

D.

x=418

Correct answer is B

The line of symmetry of the curve is at the minimum point of the curve (ie y' = 0)

ddx(5x2x2) = -1 - 4x

If y' = 0, we have 14x=04x=1

x=14