Determine if the function f left parenthesis x right parenthesis equals fourth root of x cubed end root is differentiable at x equals 0. If not, identify why. f left parenthesis x right parenthesis equals fourth root of x cubed end root is not differentiable at x equals 0 because f left parenthesis 0 right parenthesis is not defined. f left parenthesis x right parenthesis equals fourth root of x cubed end root is differentiable at x equals 0. f left parenthesis x right parenthesis equals fourth root of x cubed end root is not differentiable at x equals 0 because limit as x rightwards arrow 0 to the power of plus of fourth root of x cubed end root does not exist. f left parenthesis x right parenthesis equals fourth root of x cubed end root is not differentiable at x equals 0 because f apostrophe left parenthesis 0 right parenthesis is not defined