Differentiate:
X2 sin x
To find: Differentiation of x2 sin x
Formula used: (i) (uv)′ = u′v + uv′ (Leibnitz or product rule)
(ii)
(iii)
Let us take u = x2 and v = sinx
Putting the above obtained values in the formula:-
(uv)′ = u′v + uv′
(x2 sin x)’ = 2x × sinx + x2 × cosx
= 2xsinx + x2cosx
Ans) 2xsinx + x2cosx