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Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative....

Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative. Simplify all steps.  

  a. Find f(x + h).   ____________  

  b. Find f(x + h) – f(x).   ____________  

  c. Find [f(x + h) – f(x)] ÷ h.   ____________

  d. Find lim (hà0) [f(x + h) – f(x)] ÷ h.   ____________

    e. Find an equation of the line tangent to the graph of y = x2 – 8x where x = -3. Present your answer in slope-intercept form.

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