The gradient of point P on the curve (y = 3x^{2} – x + 3) is 5. Find the coordinates of P.
-
A.
(1, 5) -
B.
(1, 7) -
C.
(1, 13) -
D.
(1, 17)
Correct Answer: Option A
Explanation
(y = 3x^{2} – x + 3)
(frac{mathrm d y}{mathrm d x} = 6x – 1 = 5)
(6x = 5 + 1 = 6 implies x = 1)
(y = 3(1^{2}) – 1 + 3 = 3 – 1 + 3 = 5)
(P = (1, 5))