Calculus BC NEED HELP ASAP PLEASE!

Question

Find the equation of the line tangent to y = 2x² - x + 4 at x = 3. (4 points)

Answer Choices:

	y = 11x - 14
	y = 4x + 14
	y = 4x + 3
	y = 11x + 3

Answer 1

If x = 3 then y = 2·9 - 3 + 4 = 19. So pint (3, 19) is tangent point.

Slope of tangent line at this point: y' = 4x - 1 and slope m = 4·3 - 1 = 11.

Equation of tangent line: y = 19 + 11(x - 3), y = 11x - 14.

1st answer is right.