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Second Derivatives and Beyond

Second Derivatives and Beyond

Second Derivatives via Formulas Exercises

Example 1

Find the second derivative of the function.

(x) = sin x

Example 2

Find the second derivative of the function.

f(x) = 8x4 + 3x2 - 9x

Example 3

Find the second derivative of the function.

g(x) = x + 7

Example 4

Find the second derivative of the function.

g(x) = ln x

Example 5

Find the second derivative of the function.

h(x) = 2x

Example 6

For the function, either find the second derivative or determine that the second derivative does not exist.

f(x) = xex

Example 7

For the function, either find the second derivative or determine that the second derivative does not exist.

f(x) = 8

Example 8

For the function, either find the second derivative or determine that the second derivative does not exist.

f(x) = x(5/3)

Example 9

For the function, either find the second derivative or determine that the second derivative does not exist.

f(x) = |x|

Example 10

For the function, either find the second derivative or determine that the second derivative does not exist.

f(x) = ex