y= 1/a-z, find dz/dy
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y = 1/(a - z)
y(a - z) = 1
ay - yz = 1
yz = ay -1
z = (ay -1)/y
now , differentiate wrt y
dz/dy = {y.d(ay-1)/dy - (ay-1)dy/dy}/y²
= { y.a - (ay-1) }/y²
= 1/y²
hence, dz/dy = 1/y²
y(a - z) = 1
ay - yz = 1
yz = ay -1
z = (ay -1)/y
now , differentiate wrt y
dz/dy = {y.d(ay-1)/dy - (ay-1)dy/dy}/y²
= { y.a - (ay-1) }/y²
= 1/y²
hence, dz/dy = 1/y²
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