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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:

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

Recommended:

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

Category: Math Calculus

This is a student's notebook. I am not responsible if you copy it for homework, and it turns out to be wrong.

Figures are often enhanced by hand editing; the same results may not be achieved with source sites and source apps.

August 05, 2017

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