Consider the following holds for function u and v. (i) (u Â± v)' = u' Â± v' (ii) (uv)' = uv' + vu' (iii) ( (u/v) )'= (u' v - uv'/v2) Which of the above holds are true ?

Question

Consider the following holds for function u and v. (i) (u Â± v)' = u' Â± v' (ii) (uv)' = uv' + vu' (iii) ( (u/v) )'= (u' v - uv'/v2) Which of the above holds are true ? (A) Only (i) (B) Only (ii) (C) Only (iii) (D) All of the above

Tardigrade Admin · Accepted Answer

Correct answer is (d) All of the above

Q. Consider the following holds for function u and v. (i) (u±v)′=u′±v′ (ii) (uv)′=uv′+vu′ (iii) (vu​)′=v2u′v−uv′​ Which of the above holds are true ?

Only (i)

Only (ii)

Only (iii)

All of the above

Correct answer is (d) All of the above

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