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Math Help - Derivatives, limit, tangent, continousity

  1. #1
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    Derivatives, limit, tangent, continousity

    I need help in the following problems:

    1. Derivatives

    f(x)=cos(sqrt(2sinx-e^(x^2-8x)))
    g(x)=(ln x)^((ln x)+x)

    2. f(x)=sqrt(x)*ln x, if x>0
    f(x)=x^2+x+C, if x<=0, What should C be so the function is continous?

    3. lim x tends to 0 {5*e^(x/5)-x-5}/{x^2}

    4. f(x)=sin x+cos x, What is the equation of the tangent crossing (pi/5, sqrt(2))?

    Thanks a lot.
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  2. #2
    MHF Contributor

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    Have you not even tried these yourself? What calculus rules do you know that might apply?
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  3. #3
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    I had, but had no success with these ones.
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