**A** - This is the graph of the derivative of the function f(x). Around A f'(x) is changing from negative to positive. That means at A, we have a **minimum**.

**B** - At B the derivative is maximum and on the otherhand the second derivative is zero. We have...

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**A** - This is the graph of the derivative of the function f(x). Around A f'(x) is changing from negative to positive. That means at A, we have a **minimum**.

**B** - At B the derivative is maximum and on the otherhand the second derivative is zero. We have a rising **inflection point at B**

**C** - The sign of first derivative changes from positive to negative. Therefore at C we have a **maximum**.

**D** - Again we have a similar situation like B. So we have **an inflection point** at D also. But this is a falling inflection point.

**E** - At E also we have derivative changing from negative to positive. So we have a **minimum** at E also.