Chapter 2: Differentiation
Section 2.5: Implicit Differentiation
Extract y+x=9−x2 from x2+y2=9, and show that Fx,y+x=0 is an identity. Obtain y+/x from this explicit representation.
Solve Fx,y=0 for y+x
Type the equation of the circle in the form Fx,y=0 and press the Enter key.
Context Panel: Solve≻Obtain Solutions for≻y
Context Panel: Select Element≻1
→solutions for y
→select entry 1
Show that Fx,y+x=0 is an identity
Expression palette: Evaluation template
Using equation labels, evaluate Fx,y=0 at y=y+x. Press the Enter key.
The Context Menu option "Label" is used to select "Label Reference" so that the item referenced by the equation label is visible, not just the equation label.
Expression palette: Differentiation operator
Apply to y+x, referenced by its equation label.
ⅆⅆ x⁡ = −x9−x2
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