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The-function-f-x-ax-2-bx-c-has-gradient-function-4x-2-and-stationary-value-1-Find-the-values-of-a-b-and-c-




Question Number 171883 by pete last updated on 21/Jun/22
The function f(x)=ax^2 +bx+c has gradient  function 4x+2 and stationary value 1.  Find the values of a,b and c.
$$\mathrm{The}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ax}^{\mathrm{2}} +\mathrm{bx}+\mathrm{c}\:\mathrm{has}\:\mathrm{gradient} \\ $$$$\mathrm{function}\:\mathrm{4x}+\mathrm{2}\:\mathrm{and}\:\mathrm{stationary}\:\mathrm{value}\:\mathrm{1}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:{a},{b}\:\mathrm{and}\:{c}. \\ $$

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