The gradient of a function at any point (x,y) 2x - 6. If ...
The gradient of a function at any point (x,y) 2x - 6. If the function passes through (1,2), find the function.
x2 - 6x - 5
x2 - 6x + 5
x2 - 6x - 3
x2 - 6x + 7
Correct answer is D
dy/dx = 2x - 6
y = ∫ 2x - 6
y = 2x22−6+c
y = x2 - 6x + c
passes through (1,2)
2 = 12 - 6(1) + c
2 = 1 - 6 + c
c = 7
y = x2 - 6x + c
y = x2 - 6x + 7
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