The gradient of a function at any point (x,y) 2x - 6. If the function...
FURTHER MATHEMATICS
WAEC 2022
The gradient of a function at any point (x,y) 2x - 6. If the function passes through (1,2), find the function.
- A. x\(^2\) - 6x - 5
- B. x\(^2\) - 6x + 5
- C. x\(^2\) - 6x - 3
- D. x\(^2\) - 6x + 7
Correct Answer: D. x\(^2\) - 6x + 7
Explanation
dy/dx = 2x - 6
y = ∫ 2x - 6
y = \(\frac{2x^2}{2} - 6 + c\)
y = x\(^2\) - 6x + c
passes through (1,2)
2 = 1\(^2\) - 6(1) + c
2 = 1 - 6 + c
c = 7
y = x\(^2\) - 6x + c
y = x\(^2\) - 6x + 7
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