f’’(x) f’(x) f(x)
f’’(x)<0 f’(x) decreases concave down
f’’(x)=0 A extrema (turning point) (in the middle of concave up or down)
f’’(x)>0 f’(x) increase concave up
f’(x) f(x)
f’(x)<0 decrease
f’(x)=0 A extrema (turning point)
f’(x)>0 increase

Inflection Value and Points with Theorem

Critical Values and Point with theorems