CK-12-Calculus

(Marvins-Underground-K-12) #1

2.4. Derivatives of Trigonometric Functions http://www.ck12.org


Multimedia Links


For examples of finding the derivatives of trigonometric functions(4.4), see Math Video Tutorials by James Sousa,
The Derivative of Sine and Cosine (9:21).


MEDIA


Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/538

Review Questions


Find the derivativey′of the following functions:


1.y=xsinx+ 2
2.y=x^2 cosx−xtanx− 1
3.y=sin^2 x
4.y=sinsinxx−+^11
5.y=coscosxx+−sinsinxx
6.y=

√x
tanx+^2
7.y=cscxsinx+x
8.y=seccscxx


  1. Ify=cscx, findy′′(π/ 6 ).

  2. Use the definition of the derivative to prove thatdxd[cosx] =−sinx.

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