Given that (f(x) = 5x^{2} – 4x + 3), find the coordinates of the point where the gradient is 6.
-
A.
(4,1) -
B.
(4,-2) -
C.
(1,4) -
D.
(1,-2)
Correct Answer: Option C
Explanation
(f(x) = 5x^{2} – 4x + 3)
(f'(x) = 10x – 4 = 6 implies 10x = 10; x=1)
When x = 1, f(x) = y = (5(1^{2}) – 4(1) + 3 = 4)
The coordinates are (1,4)