What would the equation of the line tangent to y equals negative 2 divided by the quantity x squared minus 3 times x plus 3 at x = 1.

Answer 1

See the video.

Answer 2

y = - 2/(x² - 3x + 3) at x = 1; y = - 2/1 = - 2; y' = 2(2x - 3)/(x² - 3x + 3)², at x = 1 y' = - 2.

So, equation of tangent line: y = - 2 - 2(x - 1) or y = - 2x