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Transcendental Functions: Exponents with Bases other than e and inverse Trig functions

Transcendental Functions: Exponents with Bases other than e and inverse Trig functions. By: Uma Raman, Azra Ariff , Jennifer Oh, Christine Kweon , and Cindy Ryanto. Recap: Properties of Exponents. Properties of Exponents:. Properties of Bases Other than E.

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Transcendental Functions: Exponents with Bases other than e and inverse Trig functions

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  1. Transcendental Functions:Exponents with Bases other than e and inverse Trig functions By: Uma Raman, AzraAriff, Jennifer Oh, Christine Kweon, and Cindy Ryanto

  2. Recap: Properties of Exponents Properties of Exponents:

  3. Properties of Bases Other than E

  4. Derivatives of Bases other than E

  5. Log with bases other than e Converting between Log and Exponential Form: Log with Bases Other Than e:

  6. Example • Finding the Derivative of Exponential Functions • Finding the Derivative of Logarithmic Function

  7. Integration of Bases other than E

  8. Example

  9. Evaluating Inverse Trig Functions Finding the inverse of a trig function means find the angle at which the trig function value is true. For example Is the same as saying At π/6 the value of sin is -1/2. Therefore the arcsin(-1/2) is π/6

  10. Derivatives of Inverse Trig Functions

  11. Example

  12. Integrals of Inverse Trig Functions

  13. Example

  14. Example

  15. Outside Resources for Trig Functions • http://www2.norwalk-city.k12.oh.us/wordpress/apcalc0910/2009/12/15/section-5-5-bases-other-than-e/ • http://docs.google.com/viewer?a=v&q=cache:vddD9MIA2rQJ:www.korpisworld.com/Mathematics/AP%2520Cal%2520AB/Korpi's%2520notes%2520online/5.5.pdf+integration+of+bases+other+than+e&hl=en&gl=us&pid=bl&srcid=ADGEESjVnFVIbRph-z_7k_EilJAWU5a4O9O5qSgkwTjzTBC1ductsc5h8KtylJt-XpCfoEKvVqdgNMp_R09edM04ZmPqBNTGW-9c3ckij_YXD6OiPCsKZMvf8fQ32MMhxdC2oR5H18IF&sig=AHIEtbQY56-PTYxiagIX-_JBKjxHix7dbQ • http://video.google.com/videoplay?docid=-2191970111156304404# • http://video.google.com/videoplay?docid=1846301366687686012# • http://video.google.com/videoplay?docid=8021283091557182579# • http://www.intmath.com/Methods-integration/6_Integration-inverse-trigonometric-forms.php • http://people.hofstra.edu/stefan_waner/trig/trig4.html

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