SOLUTION: Sorry I can’t find calculus topic so I’ll ask here instead, am I able to find the derivative of y=arcsec x by using {{{ 1/x = cos y }}}? But it turns out that the derivative i

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Question 1178008: Sorry I can’t find calculus topic so I’ll ask here instead, am I able to find the derivative of y=arcsec x
by using ? But it turns out that the derivative is wrong and I obtain
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
find the derivative of by using


let

*’




you obtain , and this part is incorrect , suppose to be



Answer by ikleyn(52893)   (Show Source): You can put this solution on YOUR website!
.

From  y = arcsec(x), you have


    sec(y) = x


and then, step by step


     = x

    cos(y) = 

    d ( cos(y) ) = d (  )

    -sin(y)*dy = - 

    sin(y)*dy = 

     = 

     =  =  =  = .


ANSWER.   = .

Solved.



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