Question

The equation of the tangent line at point P(1,4) is y=

Answer 1

Use the point-slope formula.

The tangent line passes through the same point as the curve, (1, 4).

From part(2), you know its slope is 2.

Then the equation of the tangent is

$y - 4 = 2 (x - 1) \implies \boxed{y = 2x + 2}$