Calculus. I need help!
posted by LISA .
i don't know which one is match. i tried those problem. i couldn't solve it
Find y' by implicit differentiation. Match the expressions defining y implicitly with the letters labeling the expressions for y'.
1. 7xsiny+2cos2y=2cosy
2. 7xcosy+2sin2y=2siny
a. 7cosy/7xsiny4cos2y+2cosy
b. (7siny/7xcos4cos2y+2siny)
c. 7siny/4sin2yxcosy2siny
d. 7cosy/7xsiny+4sin2y+2cosy

1.
7xsiny+2cos2y=2cosy
7siny + 7xcosy*y'  4sin2y*y' = 2siny*y'
y' = 7siny/(7xcosy + 4sin2y  2siny)
is there a typo in (b) or (c)?
2.
7xcosy+2sin2y=2siny
7cosy  7xsiny*y' + 4cos2y*y' = 2cosy y'
y' = 7cosy/(2cosy + 7xsiny  4cos2y)
= (a)