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Differentiate the functions with respect...

Differentiate the functions with respect to `x :` `cos^(-1){(cosx+sinx)/(sqrt(2))},-pi/4ltxltpi/ 4`

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y=`cos^(-1){(cosx+sinx)/(sqrt(2))}`
y=`cos^(-1)(1/(sqrt(2))cosx+1/(sqrt(2))sinx))`
=`cos^(-1)(sin(pi/4)cosx+cos(pi/4)sinx))`
=`cos^(-1)cos(pi/4-x)`
=`(pi/4-x)`
`dy/dx=-1`
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