Question 987884
Let f (x) = {{{ x^3 + 11 }}} and a = {{{ 3 }}} 
Find and simplify the quotient:

{{{ (f(x)-f(a))/(x - a) }}}
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{{{(f(x)-f(a))/(x - a) = (x^3 + 11 - (a^3+11))/(x-a)}}}
= {{{(x^3 - a^3)/(x-a) = (x^2 + ax + a^2)}}}
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@ x = 3:
= {{{(x^3 - 27)/(x-3)}}}
= {{{x^2 + 3x + 9}}}
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Then find the slope {{{ M[a] }}} of the line tangent to the graph of f at the point (a,f(a))
f'(x) = 3x^2
f'(3) = 27