It can be positive or negative, or even both - at different stages.For example, the rate of change of the balance in my bank account is positive at the end of the month - when my pay goes in - but it is negative for most of the rest of the time while I am spending it!
if a number can change randomly it is called a variable
For continuous functions, yes.
0. There is no x in your equation so regardless of how you change your input, the output y never changes.
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
a car braking is a negative rate of velocity change
no... the sign indicates whether the rate of change is increasing or decreasing. It is only negative if the rate is decreasing over time.
A quantity with a negative rate of change becomes smaller as time goes on. A quantity with a positive rate of change becomes larger as time goes on.
left to right positive,right to left negative rate
It can be positive or negative, or even both - at different stages.For example, the rate of change of the balance in my bank account is positive at the end of the month - when my pay goes in - but it is negative for most of the rest of the time while I am spending it!
No
The rate of change of velocity is known as acceleration. It measures how quickly an object's velocity is changing over time. Positive acceleration means the object is speeding up, negative acceleration means it is slowing down, and zero acceleration means the velocity is constant.
The rate of change is a measure of how one quantity changes over time. It is calculated by finding the difference in the quantity values divided by the difference in time. If the quantity is increasing, the rate of change is positive, while if it is decreasing, the rate of change is negative.
Rate of change of the "vertical" variable in relation to the "horizontal" variable.
The change in y over the change in x
of Accelerate
Acceleration is the rate of change of velocity. It can be positive (speeding up), negative (slowing down), or zero (constant speed). Velocity is the rate of change of an object's position with respect to time.