CK-12-Calculus

2.5. The Chain Rule http://www.ck12.org

Multimedia Links

For an introduction to the Chain Rule(5.0), see Khan Academy, Calculus: Derivatives 4: The Chain Rule (9:11).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/539

For more examples of the Chain Rule(5.0), see Math Video Tutorials by James Sousa The Chain Rule: Part 1 of 2
(8:45).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/540

and Math Video Tutorials by James Sousa The Chain Rule: Part 2 of 2 (8:36).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/541

Review Questions

Findf′(x).

1. 
   

   f(x) = ( 2 x^2 − 3 x)^39

   
   


2. 
   

   f(x) =(x^3 −x^52 )−^3

   
   


3. 
   

   f(x) =√ 3 x (^2) −^16 x+ 2

   
   


4. 
   

   f(x) =sin^3 x

   
   


5. 
   

   f(x) =sinx^3

   
   


6. 
   

   f(x) =sin^3 x^3

   
   


7. 
   

   f(x) =tan( 4 x^5 )

   
   


8. 
   

   f(x) =

   
   

√

4 x−sin^22 x

9. f(x) =cossin( 3 xx− 2 )


10. f(x) = ( 5 x+ 8 )^3 (x^3 + 7 x)^13