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

The slope tells you whether the line is going to cover more or less area per x moving forward. If the rate of area coverage increases moving forward, then the line’s slope must be positive.