CK-12-Calculus

2.6. Implicit Differentiation http://www.ck12.org

Multimedia Links

For more examples of implicit differentiation(6.0), see Math Video Tutorials by James Sousa, Implicit Differenti
ation (8:10).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/542

For a video presentation of related rates using implicit differentiation(6.0), see Just Math Tutoring, Related Rates
Using Implicit Differentiation (9:56).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/543

For a presentation of related rates using cones(6.0), see Just Math Tutoring, Related Rates Using Implicit Differe
ntiation (2:47).

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/544

Review Questions

Finddy/dxby implicit differentiation.

1.x^2 +y^2 = 500

2.x^2 y+ 3 xy− 2 = 1

3.^1 x+^1 y=^12
4. √x−√y=

√

3

5. sin( 25 xy^2 ) =x


6. tan^3 (x^2 −y^2 ) =tan(π/ 4 )

In problems #7 and 8, use implicit differentiation to find the slope of the tangent line to the given curve at the
specified point.