Could someone please explain to me fully how to differentiate this
-xcosx + sin x + C
thanks Nat.
Since this is a sum of terms, we can differentiate each term separately:
The derivative of -xcosx uses the product rule: (uv)' = uv' + u'v
-x(cosx)' + (-x)'cosx = xsinx - cosx
The derivative of sinx is straightforward: (sinx)' = cosx
The derivative of C is the derivative of a constant: (C)' = 0
So
(-xcosx + sinx + C)' = xsinx - cosx + cosx + 0 = xsinx