If for the function $f (x) = {kx}^{2} + 7 x - 19, f' (5) = 57,$ then the value of k is

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Solution

$Given f (x) = {kx}^{2} + 7 x - 19 and f' (5) = 57 f' (x) = 2 kx + 7 f' (5) = 2 k (5) + 7 57 = 10 k + 7 k = 5$

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