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f(−x)=f(x)f(-x) = f(x)f(−x)=f(x) for all xxx in domain
f(−x)=−f(x)f(-x) = -f(x)f(−x)=−f(x) for all xxx in domain
Where f′(x)=0f'(x) = 0f′(x)=0
When f′(x)>0f'(x) > 0f′(x)>0
When f′(x)<0f'(x) < 0f′(x)<0
When f′′(x)>0f''(x) > 0f′′(x)>0
When f′′(x)<0f''(x) < 0f′′(x)<0
Where concavity changes (f′′(x)f''(x)f′′(x) changes sign)
Positive to zero to negative
Domain
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