If sec-11+x1-y=a, then dydx is equal to
y-1x+1
y+1x-1
x-1y-1
x-1y+1
Find dydx by simplifying the given function:
seca=1+x1-y
After cross-multiplication, we get
∴1-yseca=1+x⇒seca-yseca=1+x⇒yseca=seca-1-x
Now, differentiate both the sides with respect to x,
∴dydxseca+yddxseca=ddxseca-0-1⇒dydxseca+y0=0-1⇒dydx=-1seca
Since seca=1+x1-y, then
dydx=-11+x1-y=-1-y1+x=y-1x+1
Hence, the correct option is (A).