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# Consider the following equation:

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Consider the following equation:

$$f'(a)=\lim_{h\rightarrow 0}\frac{f(a+h)-f(a)}{h}$$

Let $$f(x)=\sqrt[3]x$$

If $$a\ne 0$$, 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)

Mar 1, 2022

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Like so:

I'll leave you to do the rest.

Mar 1, 2022