Complete the sentences.
(a) Let f(x) be a function and c in the domain of f. The value f′(c) is the ________
of the tangent line to f(x) at __________ . (b) If the first derivative of a function is negative on an interval I, it means that the function is ____________ on I.
(c) If c is a critical value and f′′(c)

Question

Complete the sentences. 
(a) Let f(x) be a function and c in the domain of f. The value f′(c) is the ________
of the tangent line to f(x) at __________	. (b) If the first derivative of a function is negative on an interval I, it means that the function is ____________	on I. 
(c) If c is a critical value and f′′(c) < 0, then f(x) has a relative ___________	at x = c.
(d) A point of inflection is a point in the domain of a function f (x), where the _________ is equal to zero or does not exist and at which the __________	of f (x) changes.

anonymous · Answer

a) slope - c 
b) decreasing
c) maximum
d) f'(x) - function or graph?

anonymous · Answer

d) f'(X)- range?