Limit definition for slope of the graph, equation of tangent line point for
f(x)=2x^2 at x=(-1)
1 answer:
The slope of the tangent line to
at
is given by the derivative of
at that point:

Factorize the numerator:

We have
approaching -1; in particular, this means
, so that

Then

and the tangent line's equation is

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