Safari Live - Day 42 | National Geographic

Consider the curve given by the equation (y^3 - xy = 2). It can be shown that the derivative of (y) with respect to (x) is equal to (\frac{y}{3y^2 - x}). All right, write an equation for the line tangent to the curve at the point ((-1, 1)). So, we could…

Hello Khan Academy students! This is Brandi Chastain, former U.S. Women’s National Team member, Olympic gold medalist, and World Cup champion. I’m here to say to you that what you’re doing is not easy. Trying to learn in an adverse environment to be a ch…

Rich people don’t worry about where their next meal is going to come from or if they’ll be able to make rent on Friday, but these are caused by a direct lack of money. Rich people use their money to build infrastructure around themselves so they don’t hav…

MAN: Transylvania, the name conjures it all—dense pine, impassable, craggy cliffs, thick ground fog. This is the mythic forest of your childhood nightmare. Bran Castle, billed as the last standing relic of a man some call Dracula. The story goes that Roma…

[Music] I’ve used creative communication to solve problems related to especially people learning different science. For example, in chemistry, people sometimes have a hard time understanding subatomic particles and molecules and atoms, and making those co…

So let’s say that we have ( y ) is equal to the secant of (\frac{3\pi}{2} - x), and what we want to do is we want to figure out what (\frac{dy}{dx}) is, the derivative of ( y ) with respect to ( x ) at ( x = \frac{\pi}{4} ). Like always, pause this video…