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Math Help - a few calc problems i need help with

  1. #1
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    a few calc problems i need help with

    thanks tonio and skeeter for helping me with the other problem.

    heres more problems i need help with T.T

    Find derivative of:

    y = cos^-1(x+y)

    y = tan^-1(x+y)


    Find Integrals of:

    (sec(x)^4)/(sqrt(tanx)) dx
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  2. #2
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    Quote Originally Posted by bwong890 View Post
    thanks tonio and skeeter for helping me with the other problem.

    heres more problems i need help with T.T

    Find derivative of:

    y = cos^-1(x+y)

    y = tan^-1(x+y)
    [snip]
    Re-write as x = cos(y) - y and x = tan(y) - y and find dx/dy in the usual way. Then dy/dx = 1/(dx/dy).

    Quote Originally Posted by bwong890 View Post
    [snip]
    Find Integrals of:

    (sec(x)^4)/(sqrt(tanx)) dx
    Substitute \sec^4 (x) = \sec^2 x \sec^2 x = (1 + \tan^2 x) \sec^2 x and then make the substitution u = \tan x.

    If you need more help, please show all your work and say where you get stuck.
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