Given, $$y=5x+3$$. We need to find how ##y## would change when we would make a very small change in ##x##.
So, if we assume the change in ##x## to be ##dx## the corresponding change in ##y## would be ##dy##.So, $$y+dy = 5(x+dx)+3$$ From here we get
$$\frac{dy}{dx}=5$$ From mathematical point of...