Calculus: derivatives. HELPPP!
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Calculus: derivatives. HELPPP!

[From: ] [author: ] [Date: 12-02-12] [Hit: ]
what would you expect it to be?-for the first part of the question.just plug in the h values and you will see that as the hs approach 0 you will get the derivative at 3.if you are told the derivative is an integer you can guess the nearest integer will be the derivative.......
Let f(x)=x^(3)-8x. Calculate the difference quotient (f(3+h)-f(3))/h for
h=0.1
h=0.01
h=-0.01
h=-0.1?

If someone now told you that the derivative (slope of the tangent line to the graph) of f(x) at x=3 was an integer, what would you expect it to be?

-
for the first part of the question.

just have to substitute the (3+h) and 3 for x in the function

f(h)=[(3+h)^3-8(3+h)-(3^3)+8(3)]/h

simplify

f(h)=[(3+h)^3-8(3+h)-3]/h

just plug in the h values and you will see that as the h's approach 0 you will get the derivative at 3.

if you are told the derivative is an integer you can guess the nearest integer will be the derivative.
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