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Critical Points Exercises

Example 1

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

Example 2

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

f (x) = cos x

Example 3

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

Example 4

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

Example 5

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

f (x) = xex

Example 6

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

f (x) = 4x3 + 3x2 – 2x + 1

Example 7

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

f (x) = sin x cos x

Example 8

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

f (x) = sin2 x

Example 9

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

f (x) = ex + e-x

Example 10

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

f (x) = 3x – 2x