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Given that \(f(x) = 5x^{2} - 4x + 3\), find the coordinates of the point...

Further Mathematics
WAEC 2017

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)
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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)


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