Question

Derivative of a constant is equal to zero because the rate of change of a constant with respect to some other variable is zero.

• A. True
• B. False

Answer 1

The correct option is A True

As discussed in the videos, a constant function is nothing but a line parallel to x – axis as shown in this figure.

Now as per the definition of derivative it gives the instantaneous rate of change of a function with respect to the variable on x – axis. But as you can see that the constant function is not changing with respect to the variable on x – axis. So its derivative is zero.