Question

Question #f62dc

Answer 1

`-xsinx+cosx`

Explanation:

Rate of change =slope=`dy/dx`
Rate of change=`d/dy(xcosx)`
Let `u=x, v=cosx`
`d/dxu=1, d/dxv=-sinx`
`d/dy(uv)=ud/dxv+vd/dxu`

`d/dy(xcosx)=x(-sinx)+cosx(1)`
`d/dy(xcosx)=-xsinx+cosx`
Rate of change=`-xsinx+cosx`