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Math Help - Need help with this problem

  1. #1
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    Need help with this problem

    I am stumbling across this problem and was wondering if someone can help me, i have to find for what values of c and d will be differentiable for all values of x

    <br /> <br />
             f(x)=\left\{\begin{array}{cc}cx+d,&\mbox{ if }<br />
      x\leq -1\\cx^3+x+2d, & \mbox{ if } x>-1\end{array}\right.<br /> <br />

    thanks in advance
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  2. #2
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    Quote Originally Posted by noname1 View Post
    I am stumbling across this problem and was wondering if someone can help me, i have to find for what values of c and d will be differentiable for all values of x

    <br /> <br />
             f(x)=\left\{\begin{array}{cc}cx+d,&\mbox{ if }<br />
      x\leq -1\\cx^3+x+2d, & \mbox{ if } x>-1\end{array}\right.<br /> <br />

    thanks in advance
    f(x) must be continuous ...

    -c+d = -c - 1 + 2d


    and f'(x) must be continuous ...

    c = 3c+1
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