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Calculate f prime for the following continuous function?

Answer 1

Charles Arocha

For that function, #f'(0)# does not exist.

#f'(x) = 6/7x^(-1/7) = 6/(7root(7)x)# which is not defined for #x=0#

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Answer 2

Cameron Alexander

To calculate the derivative ( f'(x) ) of a continuous function ( f(x) ), you can use differentiation rules such as the power rule, product rule, quotient rule, and chain rule depending on the form of the function. Please provide the specific continuous function ( f(x) ) for which you want to calculate the derivative ( f'(x) ), and I'll be able to help you with the calculation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.