Question

I need help!!

Answer 1

Consider f(x)= cube root x
1. Determine the domain for f and its derivative from the first principle. Determine the points wher f is not differentiable.
2. Determine the equation of tangent to f at x=-8

Answer 2

and its derivative from the first principle
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Answer 3

domain of cubed root is all real numbers, has nothing to do with calc
by first principles they mean 'not the power rule' but rather \[\lim_{h\to 0}\frac{\sqrt[3]{x+h}-\sqrt[3]{x}}{h}\]

Answer 4

of course the power rule still works, thinking of \(\sqrt[3]{x}\) as \[x^{\frac{1}{3}}\]

Answer 5

1/x^1/3 =