AP Calculus BC : Equations Involving Derivatives

Study concepts, example questions & explanations for AP Calculus BC

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Derivative As A Function

The temperature profile of a system is given by

The heat flux is given by Fourier's law, , where k is a constant.

Find the heat flux for the given profile.

Possible Answers:

Correct answer:


To find the heat flux, we must find the change in temperature with respect to x:

The derivative was found using the following rule:

Plugging this into Fourier's law, we get 

Learning Tools by Varsity Tutors