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Find Dy/Dx (X=pi) when y = sin(x) + sec(x).

 May 22, 2016
 #1
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There is no derivative!!.

 May 23, 2016
 #2
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Find Dy/Dx (X=pi) when y = sin(x) + sec(x).

 

I will change the question to:    Find Dy/Dx     of    y = sin(x) + sec(x)       at the point where x=pi

 

\( y = sin(x) + sec(x) \\  y = sin(x) + [ cos(x) ]^{-1}\\  y' = cos(x) +-1 [ cos(x) ]^{-2}*-sin(x)\\  y' = cos(x) +\frac{sin(x)}{cos^2(x)}\\  y'(\pi) = cos(\pi) +\frac{sin(\pi)}{cos^2(\pi)}\\  y'(\pi) = -1+\frac{0}{1}\\  y'(\pi) = -1\)

 May 23, 2016

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