B 2 1b graphical differentiation
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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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Working backwards from f to f l.jpg
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)

    • (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





Inflection points and concavities l.jpg
Inflection Points and Concavities

  • 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.