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CSCI 4100 SPRING 2005
ASSIGNMENT 1 DUE FEBRUARY 17
Write a program using the algorithm
in Chapter 1 to approximate the derivative of f(x) = x3 +5 at x=
2 using the definition of the derivative
f ' (x) = lim f(x+h) – f(x)
h → 0 h
Initialize the error to some small amount, say .00005. Initialize h to .1. Compute (f(x+h)=f(x))/h to approximate the derivative. Then use a do/while loop that first multiplies h by .1, and then recomputes (f(x+h)=f(x))/h. Do this as long as two successive approximations differ by more than the error you chose. After the loop, output the value of the approximation.
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