Consider the following equation:

f′ (a) = limh→0 (f (a+h) - f (a)) / h

Let f (x) = 3√x If a≠0, use the above formula to find f′ (a) =

Show that f′ (0) does not exist and that f has a vertical tangent line at (0,0)

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1 October, 19:45

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Ben Cruz · Answer 1

So you would plug in 0 for a from the beginning since this is numerical slope definition of a derivative

Consider the following equation:f′ (a) = limh→0 (f (a+h) - f (a)) / hLet f (x) = 3√x If a≠0, use the above formula to find f′ (a) =Show that f′ (0) does not exist and that f has a vertical tangent line at (0,0)