Use+of+the+calculator

=__Differentiation on the Calculator__=

A calculator may be used to find the derivative of a function. Most Calculators find the value of the derivative at a certain point. Calculators with a Computer Algebra System can find the Derivative function.

__Finding the Derivative Function__
Press **MENU** Press **5** to open the Calculus menu Press **1** for Derivative Place the **variable** by which to Differentiate in the bottommost box (so that is read d/dx for example) Enter the **Function** to be Differentiated into the box inside the parentheses Press **ENTER**. The derivative function will be given with exact coefficients to the right. __//OR//__ Press **CTRL** and then Press **ENTER** to yield approximated coefficients.

__Finding the Derivative Value at a Point__
Press **MENU** Press **5** to open the Calculus menu Press **C** for Numerical Calculations Press **1** for Numerical Derivative Enter the **Function** and place a **comma** at the end of the function Enter the **Variable** of differentiation followed by a **comma**, Enter the **Value** at which the Derivative will be evaluated and close the **Parentheses**. Press **ENTER**

__Mathematically Finding the Derivative at a Point__
Press **MATH** Press **8** to select the nDeriv( command Enter the **Function** and insert a **comma** at the end Enter the **variable** by which is will be Differentiated followed by a **comma**, Enter the **value** at which the Derivative will be evaluated and close the **Parentheses** Press **ENTER**, a decimal approximation will appear on the following line.

__Graphically Finding the Derivative at a Point__
Press **y=** and enter the **Function** into the y1 slot Press **GRAPH** Ensure that the desired point is in the viewing window (if not, press **WINDOW** and widen the view) Press **2nd** and then Press **Trace** to open the Calculate menu Press **6** to choose the dy/dx command Enter the **Value** at which to Differentiate Press **ENTER**. The decimal approximation of the derivative at the entered point will appear at the bottom of the screen.

TI-89
Hit 2nd hit 8 input the function insert a comma input the variable (press x) close parenthesis enter

On a graph:

while looking at graph press F5 go to derivatives select dy/dx input domain value press enter

Implicit differentiation:

press F3 go to the bottom of the list press enter type equation of curve comma type domain variable comma type range variable close paranthesis enter

To take the second derivative of anything simply add another comma followed by a 2 before the close paranthesis.