SOLUTION: Let {{{ f(x) = x^3 + 11 }}} and {{{ a = 3 }}} Find and simplify the quotient: {{{ (f(x)-f(a))/(x - a) }}} = Then find the slope {{{ M[a] }}} of the line tangent to th

Question 987875: Let and
Find and simplify the quotient:
=
Then find the slope of the line tangent to the graph of f at the point (a, f (a))

Answer by ikleyn(52782) (Show Source): You can put this solution on YOUR website!
.
Hello,
your post was written incorrectly from the Perl's point of view.
I corrected and saved it.
You can submit it again with my corrections.
-------------------------------------------------------------

OK. Now I am continuing to solve it.

f(x) - f(a) = - = = .

= = .

It is the expression for for the slope of the tangent line to the curve = in vicinity of the point (a,f(a).

If the point x tends to the point a, then the slope tends to = .

Thus = .

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