The critical point for the function y = 7x² - 7x + 4 lies at A)x = -1. B)x = 1. C)x = -1/2. D)x = 1/2.

Question

Quizplus · Accepted Answer

To find the critical point, we need to find where the derivative of the function equals zero.

Taking the derivative of y with respect to x:

y' = 7*S1*U1*P12*S1*S1*P0 - 7

Setting y' equal to zero and solving for x:

7*S1*U1*P12*S1*S1*P0 - 7 = 0

7*(1/2)*(1/2)*(1/2)*(1/2)*(1/2)*(1/2) - 7 = 0

-7/2 = 0

Simplifying:

1/2 = x

Therefore, the critical point is at x = 1/2. The answer is choice D.

The Critical Point for the Function Y = 7x2 -