Differentiate:
ex cos x
To find: Differentiation of ex cos x
Formula used: (i) (uv)′ = u′v + uv′ (Leibnitz or product rule)
(ii)
(iii)
Let us take u = ex and v = cosx
Putting the above obtained values in the formula:-
(uv)′ = u′v + uv′
(ex cosx)’ = ex× cosx + ex× -sinx
= excosx - exsinx
= ex (cosx - sinx)
Ans) ex (cosx - sinx)