- #1
mattsoto
- 5
- 0
"Find the instantaneous rate of change of w with respect to z if w=(7/3z^2)"
excuse the primitive equation...any help?
excuse the primitive equation...any help?
The instantaneous rate of change of 7/3z^2 refers to the rate at which the function changes at a specific point, or moment in time. It is also known as the derivative of the function at that point.
The instantaneous rate of change can be calculated using the formula: f'(x) = lim(h → 0) (f(x+h) - f(x)) / h. In the case of 7/3z^2, the derivative would be f'(z) = 14z/3.
The instantaneous rate of change tells us the slope of the function at a specific point. It can also be used to find the direction of the function's change and the steepness of the curve at that point.
The instantaneous rate of change can vary at different points of the function, as it is dependent on the slope of the function at that specific point. It can be positive, negative, or zero, depending on the direction of the function's change at that point.
The instantaneous rate of change is useful in real-world applications, such as physics and engineering, to calculate velocities, accelerations, and rates of change in various systems. It can also be used in economics and business to analyze trends and make predictions about future changes.