7 5 > 0 h, prime, left parenthesis, 2, right parenthesis, equals, 3, point, 75, is greater than, 0 H h h h is increasing ↗ \nearrow ↗ \nearrow 5 ) = 1 5 > 0 h, prime, left parenthesis, minus, 0, point, 5, right parenthesis, equals, 15, is greater than, 0 ( − ∞, − 1 ) (-\infty,-1) ( − ∞, − 1 ) left parenthesis, minus, infinity, comma, minus, 1, right parenthesis H ′ ( x ) h'(x) h ′ ( x ) h, prime, left parenthesis, x, right parenthesis 7 5 > 0 f, prime, left parenthesis, 3, right parenthesis, equals, 0, point, 75, is greater than, 0 ( 0, 1 ) (0,1) ( 0, 1 ) left parenthesis, 0, comma, 1, right parenthesis 7 5 > 0 f, prime, left parenthesis, minus, 1, right parenthesis, equals, 0, point, 75, is greater than, 0į f f f is increasing ↗ \nearrow ↗ \nearrow F ′ ( x ) f'(x) f ′ ( x ) f, prime, left parenthesis, x, right parenthesis
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