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LIMIT.IN
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1995-05-06
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775b
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23 lines
Remark Read this text file into Mathomatic to learn how to do limits.
Remark The formula for the derivative of a function of "x" is:
Remark f(x+h) - f(x)
Remark limit ------------- As "h" goes to 0.
Remark h
Remark Here we will compute the derivative of "x^.5" using limits:
a=((x+h)^.5-x^.5)/h
group
Remark We want "h" to go to 0 to give us the derivative.
Remark Just entering 0 for "h" will give a divide by zero error.
pause
Remark So we will first have to solve for "h":
h
Remark Now you will have to replace "h" with 0.
Remark When prompted for "h", enter 0, otherwise enter return:
replace
Remark Last step. Solve the equation back for "a":
a
Remark The result should be "a=0.5/(x^0.5)".
Remark That concludes this lesson.