1. Tardigrade
  2. Question
  3. Mathematics
  4. Consider the following holds for function u and v. (i) (u ± v)' = u' ± v' (ii) (uv)' = uv' + vu' (iii) ( (u/v) )'= (u' v - uv'/v2) Which of the above holds are true ?

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Q. Consider the following holds for function $u$ and $v$.
(i) $(u ± v)' = u' ± v'$
(ii) $(uv)' = uv' + vu'$
(iii) $\left( \frac{u}{v} \right)'= \frac{u' v - uv'}{v^2}$
Which of the above holds are true ?

Limits and Derivatives

Solution:

Correct answer is (d) All of the above