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B.2.1b – Graphical Differentiation. Calculus - Santowski. Working Backwards – From f’ to f. You will be given a series of graphs which represent the derivative of a function. (a) Using the graph of the derivative, state & justify the: (i) intervals of increase/decrease of f(x)

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### B.2.1b – Graphical Differentiation

Calculus - Santowski

• You will be given a series of graphs which represent the derivative of a function.

• (a) Using the graph of the derivative, state & justify the:

• (i) intervals of increase/decrease of f(x)

• (ii) extrema of f(x)

• (iii) intervals of concavity of f(x)

• (iv) inflection points of f(x)

• You must then sketch the original function

• Graph #1

• Graph #2

• Graph #3

• Describe the concavity of the following graphs and find the points of inflection (if any). You will first do all the work on the TI-89 and then algebraically develop the solutions.