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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
 #1
avatar+33151 
+1

Like so:

 

 

I'll leave you to do the rest.

 Mar 1, 2022

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