How do you find all critical numbers of the function #f(x)=x^(4/5)(x-4)^2#?
Critical points are points in the domain where the derivative is equal to zero or where the derivative is not defined.
Derivative Equal to Zero:
Now we set this equal to zero:
Derivative Not Defined:
The only possible case where
Therefore we set
Therefore, the derivative is not defined at
The critical points of this function are