Symbolic Manipulation - Texas Instruments TI-89 Titanium Short User Manual

Finding the Derivative of Functions
Steps and keystrokes
Find the derivative of (xNy)
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 ¸
Finding the Integral of Functions
Steps and keystrokes
Find the integral of
This example illustrates using the calculus
integration function.
@ 2 < X p 2 W X d b X d ¸

Symbolic Manipulation

Solve the system of equations 2x N 3y = 4 and Lx + 7y = L12. Solve the first
equation so that x is expressed in terms of y. Substitute the expression for
x into the second equation, and solve for the value of y. Then substitute
the y value back into the first equation to solve for the value of x.
Steps and keystrokes
1. Display the Home screen and clear the entry
line. Solve the equation 2x N 3y = 4 for x.
„
selects
1
You can also type
keyboard or select it from the
@ " M M „ 1 2 X | 3 Y Á 4
b X d ¸
Begin to solve the equation Lx + 7y = L12 for
2.
y, but do not press ¸ yet.
Press „ 1 ? X « 7 Y Á ? 12 b Y d
50
3
/(x+y)
...s
with respect to x.
x in(x)
from the Algebra menu.
solve(
directly from the
solve(
2
with respect
.
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