CALCULUS! PLEASE HELP URGENT!

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Which of the following functions have a derivative at x=0?

I. y= absolute value(x^3-3x^2)

II y= square root(x^2+.01)- absolute value (x-1)

III y= e^x/cosx

  • CALCULUS! PLEASE HELP URGENT! -

    What is your thinking? Look to see where there are discontiuties.

  • CALCULUS! PLEASE HELP URGENT! -

    I think all three of them have derivatives because when I put them into the calculator, I saw no discontinuities. but i am debating if it's II and III.

  • CALCULUS! PLEASE HELP URGENT! -

    doesn't one change slope rapidly at x=0?

  • CALCULUS! PLEASE HELP URGENT! -

    I think it does. For answer choice one correct?

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