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

Not ELI5 enough, but I feel like it needs to be said: The relationship between “Speed”, “Velocity” and “Acceleration” differs by integration in one direction and derivatives in the other direction.