Question

If the derivative of a function is zero everywhere, the function must necessarily be:

a. Zero everywhere
b. Constant
c. Linear
d. Exponential

Answer 1

If the derivative of a function is zero everywhere, then the function must necessarily be constant.

Step-by-step explanation:

If the derivative of a function is zero everywhere, then the function must necessarily be constant. This is because the derivative of a function represents its rate of change, and if the derivative is zero everywhere, it means that the function is not changing at any point. A constant function has a slope of zero, indicating no change in value.