if mathematically derivatives are the opposite of integrals, conceptually how is the area under a curve opposite to the slope of a tangent line?

Question

if mathematically derivatives are the opposite of integrals, conceptually how is the area under a curve opposite to the slope of a tangent line?

In: 332

Answer 1

You’re jumping a step here. If you take the derivative of a function, you would have to integrate twice to get to the area. Integrating once only gets you back to the original function.