
Use the formal definition of the derivative and your TI89 to find the derivative of f(x) = 2x^{3} at x = 1.

Use the TI89 derivative key to find the derivative of f(x) = 2x^{3} at x = 1.

Use the TI89 derivative key to find the derivative of f(x) = 2x^{3}.

Graph f(x) = 2x^{3} in a [3, 3] x [10, 10] window then use the tanimate program with a HIGH sampling rate to illustrate the derivative of f(x) = 2x^{3}. Use the program to illustrate the value of the derivative at x = 1.

Find the equation of the line tangent to f(x) = 2x^{3} at x = 1. Graph f(x) = 2x^{3} together with the tangent line and then zoom in to show local linearity.
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