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.

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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.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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

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