Final answer:
The question involves using the chain rule in calculus to differentiate a composite function. After finding the derivative, substitute the known numerical values along with units to obtain the final numerical solutions, ensuring both the correct calculations and units are used.
Step-by-step explanation:
The question pertains to the application of the chain rule in calculus to find the derivative of a function that is composed of other functions.
The chain rule is a formula used to differentiate composite functions.
To answer the student's request step by step, after finding the derivative using the chain rule, you should then substitute the known values along with their units into the appropriate equation derived from the differentiation process.
Upon substituting these values, you can obtain numerical solutions complete with units, which ensures that not only is the function correctly differentiated, but also that the resulting numerical answer has the correct units, lending to its validity.
To apply these instructions practically, if a student has the function f(g(x)) where g is a function of x, and they know the value of x and the derivatives of f and g, they could find f'(g(x))•g'(x) using the chain rule and then insert the value of x to obtain a numerical solution.
It is important to always check if the final units make sense and verify that the numerical result is reasonable.