How to solve
f'' > 0 means concave up; f'' < 0 means concave down. Inflection where f'' changes sign.
Steps
- Compute f''.
- Evaluate the sign, or solve f''=0 for inflection.
Example
f(x)=x³−3x
- f''=6x.
- Inflection at 0; concave up for x>0.
Answer: 0 or up/down
How to type answers
- Enter up, down, or an x-value
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