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High school derivative problem for help ~ f (x) = (x + 1) in (x + 1) Let f (x) = (x + 1) in (x + 1), for any x > = 0, f (x) > = ax holds, find the range of A
Let f (x) > = ax hold for any x > = 0,
Then the minimum value of F (x) - ax > = 0
When x = 0, f (0) - A * 0 = 0
Then when x > = 0, the minimum value of F (x) - ax is when x = 0
F (x) - ax, G (x) = 1-A + ln (x + 1)
Then x > = 0 must be in the region where f (x) monotonically increases
When G (x) = 0, x = - 1 + exp (A-1)
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