**Derivative**

The Casio Algebra FX2.0 can compute the derivative of a function and the derivative evaluated at a point.

**Derivative of a Function, CAS Screen**

Press
**MENU 9** to access the CAS screen. Press **F2**
to access the CALC menu. Press **1** to select **1:diff**. This pastes the
diff( prompt in the entry line of the CAS screen. Use the syntax

diff(expression,variable)

For
example, differentiate 4*x** *^{4} + 3*x* with respect
to *x*. In the entry line after the diff( prompt, type:

4 X ^ 4 + 3 X , X ) EXE

Hence, (4*x** *^{4} + 3*x*)' = 16*x** *^{3}
+ 3.

While
in the CAS screen, one may obtain higher derivatives and evaluate derivatives.
For a higher derivative, use the syntax diff(expression, variable, n) where n
is the order of the derivative. For example, let’s find the second derivative
of *y* = 3*x** *^{3} - *x* + 7. In the entry line,
after the diff( prompt, type

3 X ^ 3 - X + 7 , X , 2 ) EXE

Hence, (3*x *^{3} - *x* + 7)" = 18*x*.

To evaluate an *n*^{th} order derivative at *x* =*a*,
use the syntax diff(expression, variable, n, a). For example, to calculate the
second derivative of *y* = 3*x** *^{3} - *x* + 7 at
*x* = 4, enter diff(3X^3-X+7,X,2,4). To find the derivative of 4*x**
*^{4} + 3*x* at *x* = 2, enter diff(4X^4+3,X,1,2).

**Derivative of a Function at a Point, RUN-MAT Screen**

Press
**MENU 1** to access the RUN-MAT screen, then
press **OPTN** to see the MAT options. Press F4 to access the CALC menu, then
either press **1** or **EXE** to select **1: d**

d/dx(expression,a)

where a is the number at which you want the derivative evaluated.

For
example, differentiate
and evaluate the derivative at *x* = 0. After the d/dx( prompt in the entry
line, type

**2nd****
**** ( X + 1 ) , 0 ) EXE**

The derivative of
at *x* = 0 is 0.5.