50 points ! homeworker

1) using the quotient rule, find

2) given that , prove that

1)     - 2 / (cos x + sinx)^2.

Step-by-step explanation:

1) I assume you want the derivative of (cos x - sin x) / ( cos x + sin x).

y'  =  (cosx + sinx)( -sinx - cosx) - (cosx - sinx)(-sinx + cosx)

                                 (cosx + sinx)^2

=  -sinxcosx - cos^2x - sin^2x - sinxcosx - (-sinxcosx+cos^2x+sin^2x-sinxcosx

                                     (cosx + sinx)^2

=     -2sinxcosx - 1  - ( -2sinxcosx   + 1 )   /     (cosx + sinx)^2

=      -2sinxcosx - 1  - ( -2sinxcosx   + 1 )   /     (cosx + sinx)^2

=       - 2 / (cos x + sinx)^2.

To find the degree of the polynomial, add up the exponents of each term and select the highest sum.

Step-by-step explanation:

this is what google says btw