Differentiation Question 252

Question: If $ y=\frac{1}{a-z}, $ then $ \frac{dz}{dy}= $

Options:

A) $ {{(z-a)}^{2}} $

B) $ -{{(z-a)}^{2}} $

C) $ {{(z+a)}^{2}} $

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

Show Answer

Answer:

Correct Answer: A

Solution:

Here $ z=a-\frac{1}{y} $

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