(a) Show that the symmetric difference quotient (a + h) (a h)/2h is the slope...
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(a) Show that the symmetric difference quotient ƒ(a + h) − ƒ(a − h)/2h is the slope of the secant line to the graph of ƒ from x = a − h to x = a + h. (Include an illustration.)
(b) Prove that the symmetric difference quotient is the average of the slopes of the secant lines from x to x + h and from x − h to x.
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a The secant line to the graph of f from x a h to x a h passes through t...View the full answer
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