Question

What is meant by the term differentiation?

Answer 1

Differentiation is the process by which you find the rate of change of a variable with respect to another.

Explanation:

A good example of this is the position-time function `x(t)` as when you differentiate this function you will be able to to know the value of the instantaneous velocity `dx/dt` at a given time `t` and same goes for the velocity-time function `v(t)` as you will be able to calculate the value of the instantaneous acceleration `dv/dt` at a given time `t`

Also, it's used to calculate the slope of a non-linear equation as `y=x^3` as the slope depends on `x` and not a constant like in linear equations as `y=mx+c` in which the slope will be equal to `m`

I hope this was helpful