Question

if f(x) =x³-2x+1,show that f'(2)=10 f'(1).

Answer 1

$f(x) = {x}^{3} - 2x + 1 \\ f{}^{1} (x) = 3 {x}^{2} - 2 \\put \: x = 2 \\ f {}^{1} (2) = 3(4) - 2 = 10 \\ put \: x = 1 \\ f {}^{1} (1) = 3(1) - 2 = 1 \\ therefore \\ f {}^{1}(2) = 10f {}^{1} (1)$
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