Studied by 19 people
f is increasing
f’ +
f is decreasing
f’ -
f is concave up
f’’ +
f is concave down
f’’ -
Horizontal Tangent Line or Sharp Turn
f’ = 0 or f’ DNE
The point that f changes concavity
f’’ = 0 or DNE AND f’’ changes signs
1st derivative definition of the relative max of f (mountain)
f’ = 0 or DNE AND f’ changes sign from + to -
1st derivative definition of the relative min of f (valley)
f’ = 0 or DNE AND f’ changes signs from - to +
2nd derivative definition of the relative max of f (mountain)
f’ = 0 or DNE AND f’’ -
2nd derivative definition of the relative min of f (valley)
f’ = 0 or DNE AND f’’ +
