Question

derivative of y=(x-1)^2+1

Answer 1

\[\frac{ dy }{ dx } = \frac{ d }{ dx }(x-1)^2 + \frac{ d }{ dx }(1) = 2(x-1)(\frac{ d}{ dx }(x-1)) + 0 = 2(x-1)\]

Answer 2

y = x^2 - 2x + 1 +1
y = x^2 -2x + 2
y' = 2x - 2