If y = 1 a - z , then dz dy = - Vidyadip

MCQ

If $y = {1 \over {a - z}},$ then ${{dz} \over {dy}} = $

✓
${(z - a)^2}$
B
$ - {(z - a)^2}$
C
${(z + a)^2}$
D
$ - {(z + a)^2}$

✓

Answer

Correct option: A.

${(z - a)^2}$

a
(a) Here $z = a - \frac{1}{y}$ ==> $\frac{{dz}}{{dy}} = \frac{1}{{{y^2}}} = {(a - z)^2}$

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