Final answer:
To find the derivative function f', we need to take the derivative of the given function f. The derivative represents the rate of change of the original function.
Step-by-step explanation:
To find the derivative function f', we need to take the derivative of the given function f. The derivative function represents the rate of change of the original function. In this case, we are given the velocity function and we need to find the acceleration function.
We can take the derivative of each component of the velocity function with respect to time. For example, if the velocity function is given as v(t) = (x(t), y(t), z(t)), then the derivative of x(t) with respect to time gives the x-component of acceleration.
Once we have the derivative function, f', we can use it to analyze the rate of change of the original function in various contexts.