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Find all critical numbers for `y=root(7)(x^4)(3x-1)`.
The critical numbers are `x=` .
Separate your answers with a comma.
To find the critical numbers, recall that they occur where the derivative of the function is either zero or undefined. For this function, you'll need to use the product rule and the chain rule to find the derivative. Then, set the derivative equal to zero and solve for `x`. Also, consider where the function or its derivative might be undefined
Box 1: Enter your answer as a list of values separated by commas: Example: -4, 3, 2
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
`0,4/33`