General Rule for Differentiation of a Scalar Quantity - QS Study
QS Study

General rule for differentiation of a scalar quantity is as follows:

A scalar quantity is a one dimensional measurement of a quantity, like temperature, or weight. It changes with the change in their magnitude. Ordinary rules of algebra are followed by scalar quantities to perform operations like addition, subtraction and multiplication

(a) Firstly, the co-efficient of the variable quantity is to be multiplied by the power.

(b) Then ‘1’ is to be subtracted from the power of the variable quantity.

Example: Let the distance, s = 16 t2. Here 16 is the co-efficient, t is the variable quantity and 2 is the power. According to the above rule, firstly 16 is to be multiplied by power 2 which gives 32. And subtraction of 1 from the power 2 of the variable quantity gives 1.

so, ds/dt = v = 32t

Practical Example:

Time – Scalar quantities refer to time; the measurement of years, months, weeks, days, hours, minutes, seconds etc.

Volume – Scalar quantity can refer to the volume of the medium.