Calculator Commands and

Applications for Calculus 1

 

Checking Differentiation

To check to see if you differentiated a function correctly

In y1, put your answer.

Go to y2.  Press <MATH>

Choose "nDeriv("

This puts it in y2.

In the "nDeriv(" command, Enter the original function.

Then enter ",x,x"

Deselect y1 and y2 by putting the cursor on the equals signs and hitting <ENTER>.

In y3, choose <VARS>

Use <►> to choose "Y-VARS"

Choose "Function."

Choose Y1.

Press< - > and then repeat the last 4 steps to place Y2 on the line.

Put "+1" in the function.

Choose ZStd from the ZOOM menu and press <GRAPH>

If your differentiation was correct, you should see the horizontal line, y = 1.  That would mean that Y1-Y2+1 is always 1 and thus Y1-Y2 = 0 or Y1 = Y2.  The picture might vary slightly if the function has a restricted domain.

 

 

Checking Indefinite Integration

To check to see if you integrated a function correctly

In y1, put your answer.

Go to y2.  Press <MATH>

Choose "fnInt("

This puts it in y2.

In the "fnInt(" command, Enter the original function.

Then enter ",x,0,x"

Deselect y1 and y2 by putting the cursor on the equals signs and hitting <ENTER>.

In y3, choose <VARS>

Use <►> to choose "Y-VARS"

Choose "Function."

Choose Y1.

Press< - > and then repeat the last 4 steps to place Y2 on the line.

Put "+1" in the function.

Choose ZStd from the ZOOM menu and press <GRAPH>

If your integration was correct, you should see the horizontal line, y = 1.  That would mean that Y1-Y2+1 is always 1 and thus Y1-Y2 = 0 or Y1 = Y2.  The picture might vary slightly if the function has a restricted domain.

 

 

 

Checking Definite Integration - Method 1

To check to see if you integrated a function correctly

From the home screen, choose <MATH>

Scroll down and choose "fnInt("

The main screen should now look as follows.

Enter the function,  <,>, the lower bound,  <,>, and the upper bound.

Press <ENTER>

Then compare to the answer you obtained.

 

 

Checking Definite Integration - Method 2

To check to see if you integrated a function correctly

Have your function graphed with xMin = lower bound of integration and xMax = upper bound of integration.

From the graph, press <2nd> <CALC>

Choose

"ò f(x) dx"

Use <Ï> to move the cursor over to the lower bound.  Press <ENTER>.

With the TI-83, you can avoid having to use <Ï> by just typing in the lower bound.

Use <å> to move the cursor over to the upper bound.  Press <ENTER>.

Again, with the TI-83, you can avoid having to use <å>  by just typing in the upper bound.

Compare the calculator answer with your answer.