Question

x^(4/5)(x-10) has two critical numbers where A 14 years ago

Answer 1

What're critical numbers, when the whole expression gets to Zero?

Answer 2

a critical point of a function occurs when the derivate is 0 or the function is not differentiable (when the derivate is undefined).

Answer 3

Hmm \[f(x)=x^{4/5+1}-10x^{4/5}\]\[f'(x) = \frac 9 5x^{4/5} - 10x^{-1/5}\]\[f'(x) = 0\implies \frac 9 5x^{4/5} - 10x^{-1/5}=0\]

Answer 4

Sorry, \(f'(x)= \frac 9 5x^{4/5} - 10\times \frac{4}{5}x^{-1}{5}\)

Answer 5

I hope you can solve it now

Answer 6

Typo :/ ...Sorry
\[f'(x)= \frac 9 5x^{4/5} - 10\times \frac{4}{5}x^{-1/5}\]BTW at x = 0, the function is undefined.