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Math Help - differentiate arcsin, need to check if I've done right

  1. #1
    Member dokrbb's Avatar
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    differentiate arcsin, need to check if I've done right

    I have done another one, which is f(x)= 8arcsin(x^4);

    f(x) = 8 (1/(sqrt(1 (x^4)^2))*4x^3 =>

    f(x)=32x^3/(sqrt(1 (x^4)^2))=>

    f(x)=32x^3/(sqrt(1 (x^8))=>, after that

    f(0.8) = 32*0.512/(sqrt(1 0.16777216) =>

    f(0.8) = 16, 384/ (sqrt 0.83222784) = 16, 384/ (0.91226) = 17, 95979


    Didn't apply the logs this time (but I wanted so much )
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    Member dokrbb's Avatar
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    Re: differentiate arcsin, need to check if I've done right

    Thanks guys,

    Don't bother, I checked and it's correct,
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    Re: differentiate arcsin, need to check if I've done right

    Don't have to apply log when it is not required. remember we need to apply when we have a function to the power of a function that is [f(x)]^g(x). For example x^y=y^x; [cosx]^y= [siny]^x etc.
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    Re: differentiate arcsin, need to check if I've done right

    Quote Originally Posted by ibdutt View Post
    Don't have to apply log when it is not required. remember we need to apply when we have a function to the power of a function that is [f(x)]^g(x). For example x^y=y^x; [cosx]^y= [siny]^x etc.
    ok... now makes sense for me,

    thank you

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