a. Show that the definition of the derivative applied to the function
b. Use a calculator to evaluate the difference quotient for the following values of h: 0.1, 0.001, and 0.00001. [Hint: Enter the calculation into your calculator with h replaced by 0.1, and then change the value of h by inserting zeros.]
c. From your answers to part (b), does the limit exist? Does the derivative of at x = 0 exist?
d. Graph on the window [0, 1] by [0, 1]. Do you see why the slope at x = 0 does not exist?
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