B. Calculus OperationsIntegration and differentiation operations can be accessed directly on the keypad using the key. These operations, as well as others, are also accessed via the MATH A: Calculus menu and the menu key F3.

The TI-89 will perform both numerical and symbolic differentiation and integration.

NOTE: If the variable has been assigned a numerical value it must be cleared to perform the symbolic operation.

Example: (a) Find the first derivative of .

(b) Find the second and third derivatives.

(c) Find the value of the first derivative at x=4.

(a) First clear the value of x.

Press and .

Or use DelVar from the catalog.Press 8, enter the

expression, and .(b) To find the 2nd derivative,

add a 2 after the variable.To find the 3rd derivative,

add a 3 after the variable.(c) Enter the bar | and x=4

after the expression.

The bar | key is below the = key.Example: (a) Find . Clear the value of x before you perform this calculation.

(b) Evaluate . Show both the exact and an approximate answer.

Press 7, enter the

expression, and .Press 7, enter the expression,

the limits of integration, and .

Notice that the line is too long

for the screen. Use the cursor to

scroll over and see the remainder

of the screen.Insert a decimal point after the 4.

This will produce a numerical answer.