Question

Evaluate the derivative below and state a corresponding integration formula: d/dx [cosx + xsinx]

Answer 1

= -sin(x) + sin(x) +xcos(x)
= xcos(x)
the xsin(x) portion uses the product rule d/dx(f(x)*g(x) = f'(x)g(x) +g'(x)f(x)

Answer 2

\[d/dx(cosx +xsinx)=\int\limits_{}^{}(xcosx) dx\]