Question

For the function

f(x)=-3x^2

make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x=2.

Interval [1,2]

Step 1

It is known that the slope of a secant line between points (*a*, *f*(*a*)) and (*b*, *f*(*b*)) is given by:

Step 2

Now, evaluate slopes of secant line at different intervals between the provided interval [1,2]:

Step 3

So, the table of slopes of seca...

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