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Second Derivatives and Beyond

Second Derivatives and Beyond

Example 1

For the function, find all points of inflection or determine that no such points exist.

f (x) = sin x

Example 2

For the function, find all points of inflection or determine that no such points exist.

f (x) = ex

Example 3

For the function, find all points of inflection or determine that no such points exist.

Example 4

For the function, find all points of inflection or determine that no such points exist.

Example 5

For the function, find all points of inflection or determine that no such points exist.

f (x) = 5x + 2

Example 6

For the function, find all points of inflection or determine that no such points exist.

f (x) = x1/3

Example 7

For the function, find all points of inflection or determine that no such points exist.

f (x) = xex

Example 8

For the function, find all points of inflection or determine that no such points exist.

Example 9

For the function, find all points of inflection or determine that no such points exist.

f (x) = x ln x for x > > 0

Example 10

For the function, find all points of inflection or determine that no such points exist.

The logistic equation

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