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Exercises from public domain textbooks. Workings where provided do not necessary follow the same lines as the original.

D33-1. Maximum (1,7), minimum (3,3); point of inflection (2,5), with slope -3 at that point.

D33-3. No critical points; inflection at x=1, with slope 3.

D33-5. {$ x = 0, x= \pm 1, \pm {1 \over 3} \sqrt{3} $} worked Warning! The working does not agree with the textbook answer.

D33-7. {$ x=-2, -{4 \over 5}; x=1, -{4 \over 5} \pm {1 \over 10}\sqrt{54} $}

D33-10. Point of inflection at (0,0)

D33-12. {$ x=0; x=\pm {2\over 3}\sqrt{3a} $}

D33-13. {$ x=0; x= \pm ({3 \over 5})^{1 \over 4} $}

D33-14. {$ x=0; x=\pm {1 \over 5}\sqrt{5} $}

*Sources:*

*Elements of the Differential and Integral Calculus***Wikisource***Calculus Made Easy*by Silvanus P. Thompson**Project Gutenberg**:- Davis,Ellery Williams, William Charles Brenke, Earle Raymond Hedrick.
*The Calculus*(Macmillan Company, 1922) Google Books - Love, Clyde E., Earl David Rainville
*Differential and Integral Calculus*(Macmillian, 1916) Google Books

*Recommended:*

- Paul's Online Notes: Calculus I'' while not a source of material here, sometimes helpful when stuck.

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