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# 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