1 / 8

Derivatives of Trig functions

Derivatives of Trig functions. Find derivatives of basic trig functions Applications. Derivative of sin x. Recall sin ( a+b )=sin a cos b + sin b cos a and lim h 0 sin h/h =1, lim h 0 (1-cos h )/ h=0 Use in computing derivative of sin:. Conclusion.

rhonda-graham
Download Presentation

Derivatives of Trig functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Derivatives of Trig functions • Find derivatives of basic trig functions • Applications

  2. Derivative of sin x • Recall sin (a+b)=sin a cos b + sin b cos a and limh0 sin h/h =1, limh0 (1-cos h)/h=0 • Use in computing derivative of sin:

  3. Conclusion • Similar arguments work for cosine

  4. Derivative of tangent

  5. Derivatives of all trig functions

  6. Examples

  7. More examples

  8. A word problem • Suppose that the rising sun passes directly over a building that is 90 feet high and let  be the sun’s angle of elevation with respect to the earth. Find the rate at which the length x of the building’s shadow is changing with respect to  when  =/4.

More Related