Texas Instruments TITANIUM TI-89 - Manual (Page 79)

Previews 79
Finding the Derivative of Functions Finding the Derivative of Functions Finding the Derivative of Functions Finding the Derivative of Functions
Finding Implicit Derivatives Finding Implicit Derivatives Finding Implicit Derivatives Finding Implicit Derivatives
Steps and keystrokes Display
Find the derivative of (xNy)
3
/(x+y)
2
with
respect to x.
This example illustrates using the calculus
differentiation function and how the function is
displayed in “pretty print” in the history area.
Press 2 = c X | Y d Z 3 e c X « Y
d Z 2 b X d ¸
Steps and keystrokes Display
Compute implicit derivatives for equations in
two variables in which one variable is defined
implicitly in terms of another.
This example illustrates using the calculus
implicit derivative function.
Press … D X Z 2 « Y Z 2 Á 100 bX b Y
d ¸