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limit and derivative of function

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Let f(x) = 2x^2+3x+3 and let g(h)=f(3+h)−f(3).
h
Determine each of the following:

(a) g(1)=
(b) g(0.1)=
(c) g(0.01)=

You will notice that the values that you entered are getting closer and closer to a number L. This number is called the limit of g(h) as h approaches 0 and is also called the derivative of f(x) at the point when x=3. We will see more of this when we get to the calculus textbook.

Enter the value of L:

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It shows how to approximate the derivative of the function.

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