Inflection Points Worksheet

Solutions

Calculate the Inflection Points of the Following Functions:

1 f(x) = x3 − 3x + 2

2 Inflection Point Exercise

3 Inflection Point Exercise

4 Inflection Point Exercise

5 Inflection Point Exercise

6 Inflection Point Exercise


1

f(x) = x3 − 3x + 2

f''(x) = 6x 6x = 0 x = 0.

f'''(x) = 6

f(0) = (0)3 − 3(0) + 2 = 2

Inflection point: (0, 2)


2

2. Inflection Point Exercise

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection point(0, 0)


3

3. Inflection Point Exercise

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Points


4

4. Inflection Point Exercise

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Points


5

5. Inflection Point Exercise

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Points


6

6. Inflection Point Exercise

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Point Operations

Inflection Points