Find the equation of the tangent to the curve (y = 4x^{2} – 12x + 7) at point (2, -1).
-
A.
y + 4x – 9 = 0 -
B.
y – 4x – 9 = 0 -
C.
y – 4x + 9 = 0 -
D.
y + 4x + 9 = 0
Correct Answer: Option C
Explanation
(y = 4x^{2} – 12x + 7)
(frac{mathrm d y}{mathrm d x} = 8x – 12)
At x = 2, y = 8(2) – 12 = 4
Equation of the tangent to the curve: (y – (-1) = 4(x – 2))
(y + 1 = 4x – 8 implies y – 4x + 1 + 8 = y – 4x + 9 = 0)