Application of Derivatives – Notes

Rate of Change of Quantities

Rate of Change: The change in one quantity with respect to time is known as rate of change of quantity.

If a quantity y varies with another quantity x, satisfying y = (x), then  represents the rate of change quantity with respect to x.

If x = (t) and y = ɡ(t), then  =   .

The value of  at x = x₀ i.e.

Change of y with respect to x at x = x_0.