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Let f(x) = x^3 - x a) Find the equation of the secant line through (0,f(0))...

Let f(x) = x^3 - x
a) Find the equation of the secant line through (0,f(0)) and (2,f(2))
b) State the Mean-Value Theorem and show that there is only one number c in the interval that satisfies the conclusion of the Mean-Value Theorem for the secant line in part a
c) Find the equation of the tangent line to the graph of f at point (c,f(c)).
d) Graph the secant line in part (a) and the tangent line in part c in the same coordinate system and confirm that the lines are parallel

Math   Calculus   
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