Calculus Chapter 6 Justifications
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5 Terms
1
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f has a critical point at x=a
since f’(x)=g(x)=0 at x=a
since f’(x)=0 at x=a
2
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f is decreasing on [b,c]
since f’(x)=g(x) < 0 on [b,c]
since f’(x) < 0 on [b,c]
3
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f has a relative maximum when x=k
since f’(x)=g(x) changes from positive to negative when x=k
since f’(x) changes from positive to negative when x=k
4
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f has a point of inflection when x=m
since f’(x)=g(x) changes from increasing to decreasing or vice versa at x=m
since f’(x) changes from increasing to decreasing or vice versa at x=m
5
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f is concave up on [p,q]
since f’(x)=g(x) is increasing on [p,q]
since f’(x) is increasing on [p,q]
Note 
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