Practice question · Select all that apply
Which statements are correct when f'(x) > 0 on an interval?
Hints
- The first derivative controls direction, not curvature.
- Ask which claims really need the second derivative before selecting them.
Show the answer
- B. f is increasing on that interval
- C. The tangent line has positive slope
Why
f' > 0 ⟹ increasing and positive-sloped tangents. Concavity depends on f'', not f'.
Practise Derivatives as local rate of change
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