The Internet Has Massively Broadened Career Possibilities

So I have written here the formal definition for the partial derivative of a two-variable function with respect to X. What I want to do is build up to the formal definition of the directional derivative of that same function in the direction of some vecto…

Let ( F(x) ) be equal to ( 12x^3 + 3x - 4 ). Let ( H ) be the inverse of ( F ). Notice that ( F(-2) ) is equal to (-14) and then they’re asking us what is ( H’(-14) ). If you’re not familiar with how functions and their derivatives relate to their invers…

When we start to study electricity, we need to get an idea of what is current and what is voltage. In two earlier videos, I talked about the idea of current and voltage, current and voltage, and what they meant. When we talked about current, it’s easiest …

When we make new discoveries, we need to be able to share them with others. The first thing we have to do is make sure everyone is on the same page. We do this by using units and frames of reference, which are also called reference frames. We talk about u…

Welcome everyone to the daily homeroom! I hope you all had a good weekend. I know, or as good a weekend as you could have, given the circumstances. For those of you all who are new to our daily homeroom, this is really a way for us to stay connected as we…

[music playing] INTERVIEWER 1: Would you like to live on the moon? WOMAN: Yes, I would. INTERVIEWER 1: You would? You’d like to be one of the first people to go? WOMAN: Yes. MAN 1: We have one of the most challenging assignments that has ever been gi…