- #1
sahilmm15
- 100
- 27
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 view everything is clear, but can you make me understand this $$\frac{dy}{dx}=5$$ in a more intuitive
way(graphical maybe) or something else.
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 view everything is clear, but can you make me understand this $$\frac{dy}{dx}=5$$ in a more intuitive
way(graphical maybe) or something else.