Question

How do you automatically know an interval is zero?

a) If the function is constant
b) If the derivative is zero
c) If the integral is zero
d) If the limit is zero

Answer 1

The derivative of a function is zero at an interval, indicating that the function does not change within that interval.

Step-by-step explanation:

To automatically know an interval is zero, we can use the option b) If the derivative is zero. If the derivative of a function is zero at a certain interval, it means that the function is not changing within that interval, and therefore the interval is zero. For example, if we have a constant function like f(x) = 3, the derivative of this function is zero for all values of x, indicating that the function does not change and the interval is zero.