Bonjour,
f(x) = x² - 4x + 6
f'(x) = 2x - 4
f(3) = 3² - 4 × 3 + 6 = 9 - 12 + 6 = 3
f'(3) = 2 × 3 - 4 = 6 - 4 = 2
y = f'(a)(x - a) + f(a)
⇔ 2(x - 3) + 3
⇔ 2x - 6 + 3
y = 2x - 3
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Bonjour,
f(x) = x² - 4x + 6
f'(x) = 2x - 4
f(3) = 3² - 4 × 3 + 6 = 9 - 12 + 6 = 3
f'(3) = 2 × 3 - 4 = 6 - 4 = 2
y = f'(a)(x - a) + f(a)
⇔ 2(x - 3) + 3
⇔ 2x - 6 + 3
y = 2x - 3