If y=1/a-z, find dz/dy

Asked by Anil | 31st May, 2017, 12:34: PM

Expert Answer:

begin mathsize 16px style straight y equals fraction numerator 1 over denominator straight a minus straight z end fraction
rightwards double arrow straight a minus straight z equals 1 over straight y
rightwards double arrow straight a minus 1 over straight y equals straight z space space space that space is comma space space space straight z equals straight a minus 1 over straight y
differentiating space wrt space straight y comma space we space get
fraction numerator straight d straight z over denominator dy end fraction equals 0 plus 1 over straight y squared
dz over dy equals 1 over straight y squared end style

Answered by Rebecca Fernandes | 24th Nov, 2017, 12:00: PM