Texas Instruments TI-89 and TI-92 Plus Computer 

Last page update: Sunday, November 21, 1999 
Multivariable Implicit Derivative - for the TI-89 and TI-92 Plus
Version 1.0   (Monday, September 10, 1999)
Download [ di.89f  | di.9xf ] (643 bytes)
Description Determines single or multivariable implicit derivative to the first or greater order.  
Screen shots
Screen image 
Documentation Usage: 

Expr can be a function, expression, or equation. If Expr is not an equation, it will be assumed to be equal to zero (0). 

ImplicitVar is the implicit variable. 

ExplicitVarOrList is the explicit variable or a list of one or more explicit variables in an expression of three of more variables. 

Return value: 
The implicit derivative or a list of implicit derivatives if ExplicitVarOrList is a list of two or more variables. 

1. di(y=(2x+5)-1/2,y,x,1)  (y is an implicit function of x, first order)

2. di(y2=x2+2x,y,x,2)  (y is an implicit function of x, second order)

3. di(x2+y2+z2=a2,z,{x,y},1)  (z is an implicit function of x and y, first order)
     (-x/z, -y/z}