bjr
(1/u)' = -u'/u²
•f(x) = 1/(x + 1)
u : x + 1 ; u' : 1
f'(x) = -1/(x + 1)²
• f'(x) = -1/(x + 1)²
u : (x + 1)² ; u' : 2(x + 1)
f"(x) = -[-2(x + 1)] / (x + 1)⁴
= 2(x + 1) / (x + 1)⁴
f"(x) = 2/ (x + 1)³
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bjr
(1/u)' = -u'/u²
•f(x) = 1/(x + 1)
u : x + 1 ; u' : 1
f'(x) = -1/(x + 1)²
• f'(x) = -1/(x + 1)²
u : (x + 1)² ; u' : 2(x + 1)
f"(x) = -[-2(x + 1)] / (x + 1)⁴
= 2(x + 1) / (x + 1)⁴
f"(x) = 2/ (x + 1)³