Find the coordinates of the point on the curve
y = x2 − 4x + 3, where the gradient is 6.
Differentiating
y' = 2x − 4
When gradient is 6, y' = 6
6 = 2x − 4
2x = 10
x = 5
when x = 5
y = 52 − 4x5 + 3
y = 8
The coordinates are (5, 8).
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