What is the application of differentiation in real life?

Answer 1

It's mainly used in physics, engineering, statistics, economics, etc.

The main physics example is this:

Assuming that s is distance, v is velocity, and a is acceleration, the following is true:

s(t)=v'(t)=a''(t) (where t is time)

Answer 2

Differentiation has various applications in real life. For example, in economics, it helps determine the marginal cost and revenue functions, which are essential for maximizing profit. In physics, it is used to calculate rates of change of quantities like velocity and acceleration. In medicine, differentiation is used to determine the rate at which a tumor is growing.