Question

the maximum value of function
y=-x^2+2x+1

Answer 1

ok, first differentiate with respect to x: dy/dx=2x+2. Set equal to zero and solve for x, x=-1. Now check second derivative. d^2y/dx^2=2, Since the second derivative is greater than zero for all x, x = -1 has to correspond to a maximum. Now, plug in x = -1 into the original equation to obtain: (-1,0)

Answer 2

oops thats wrong srry

Answer 3

(1,2) is the answer