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Math Help - Differentiate the following Trigonometric function(check my answers)

  1. #1
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    Exclamation Differentiate the following Trigonometric function(check my answers)

    1) y=sin(2x+5)
    =2cos(2x+5)
    2) y=sec\sqrt{x}
    =\frac{sec\sqrt{x}tan\sqrt{x}}{\sqrt{x}}
    3) y=cosxsin3x
    =3(cosx)(cos3x)-(sin3x)(sinx)
    4) y=2sec2x-csc^2 3x
    =4sec2x tan2x+6csc^2 3xcot3x
    5) y=cos^2 (4x^5 +1)
    =-2(cos4x^5 +1)(sin4x^5)(20x^4)

    Please check is my answers are correct, and if there arent please try to solve them in steps...
    Thank you
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  2. #2
    Super Member redsoxfan325's Avatar
    Joined
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    From
    Swampscott, MA
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    Quote Originally Posted by mj.alawami View Post
    1) y=sin(2x+5)
    =2cos(2x+5)
    2) y=sec\sqrt{x}
    =\frac{sec\sqrt{x}tan\sqrt{x}}{{\color{red}2}\sqrt  {x}}
    3) y=cosxsin3x
    =3(cosx)(cos3x)-(sin3x)(sinx)
    4) y=2sec2x-csc^2 3x
    =4sec2x tan2x+6csc^2 3xcot3x
    5) y=cos^2 (4x^5 +1)
    =-2(cos4x^5 +1)(sin4x^5{\color{red}+1})(20x^4)

    Please check is my answers are correct, and if there arent please try to solve them in steps...
    Thank you
    See above
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