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Math Help - Differentiating with modulus function

  1. #1
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    Differentiating with modulus function

    Hey, could someone please help me get started on this problem, I'm not sure how to go about it. Thanks heaps.

    Where is the function h(x) = |x 􀀀- 1| + |x + 2| differentiable?

    (a) Give a formula for h'(x).

    (b) Sketch the graphs of h and h'
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  2. #2
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    Re: Differentiating with modulus function

    Quote Originally Posted by Vishak View Post
    Hey, could someone please help me get started on this problem, I'm not sure how to go about it. Thanks heaps.

    Where is the function h(x) = |x 􀀀- 1| + |x + 2| differentiable?

    (a) Give a formula for h'(x).

    (b) Sketch the graphs of h and h'
    The function will be differentiable everywhere except the cusps. Where are these?
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    Re: Differentiating with modulus function

    I think at x = 1 and x = -2. Do I have to split the function to find h'(x)?
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    Re: Differentiating with modulus function

    Yes on both counts
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