Computing a tangent plane

Here you can see how to use the control over functions whose graphs are planes, as introduced in the last video, to find the tangent plane to a function graph.

[haroldh]

This is such a great video. After watching this I was able to solve all my equations right away with more understanding. Keep up the great work man, the visual representations played such a key role.

[savagepinksock]

i wondered why you were talking so fast then i realised i had it on double speed :/

[MrGarkin]

ye, lets call variable a y_not, y not.

[TheAmunik]

This video saved me so much time, thank you!!!

[tylergeorge]

thank you great video, finals tomorrow... one of the last things I had to figure out.

[SW]

Thank you so much Grant, much appreciated

[arsalansyed]

Thank you so much! Without you I would hate math!

[Otto-czby]

Can you find dz/dx and dz/dy and then use the cross product to find the equation of the plane?

[angelgarciamath]

What happens if the chosen point x does not belong to the surface? How do you find the tangent surface in that case and how does that look in comparison with the one in the video?

[gnikola]

When you are so into maths it ends up consuming all of the remaining neurons you had 8:32

[WorldWideSkboarding]

Why wouldnt the tangent planes equation be 0=a(x-x0)+b(y-y0)+c(z-z0) where a, b, c are the partial derivative of the surface evaluated at x0, y0, z0 ???

[evanparshall]

It seems like this only works with convex functions. Is that correct?

[RafaelFix]

Why f(x, y) and not f(x, z) or f(y, z)?