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part 1

Across
if the graph of f lies below all of its tangents on an interval
the function F is said to have a relative maximum at the point c if f(c) > f(x) for all x in an open interval containing c.
a point of a curve at which a change in the direction of curvature occurs.
the speed of something in a given direction.
Condition 1: f is continuous on the closed interval [a,b] Condition 2: f is differentiable on the open interval (a,b) Conclusion: if f(a)=f(b), then there is at least one number c in (a,b) such that f’(c)=0
if F is a continuous function on the closed interval [a,b], then F must attain a maximum and a minimum, each at least once, on [a,b].
implied though not plainly expressed.
the rate of change of velocity of an object with respect to time.
if the graph of f lies above all of its tangents on an interval
any point at which the value of a function is largest (a maximum) or smallest (a minimum).
Down
the function f(x) has an absolute minimum value at c if f(x)>f(c) for all x in the domain.
Able to be differentiated.
the point or place where something begins, arises, or is derived.
If f’ changes from positive to negative at x=c, f has a relative max at x=c. If f’ changes from negative to positive at x=c, f has a relative min at x=c
the point where the curves changes its concavity
The action or process of differentiating.
the function F is said to have a relative minimum at the point c if f(c) < f(x) for all x in an open interval containing c.
each of four parts of a plane, sphere, space, or body divided by two lines or planes at right angles.