Equation of the Tangent Plane in Two Variables (KristaKingMath)

In this video I explain an equation of the tangent plane in two variables calculus problem example.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[tacticalpete]

You just reduced my chances of failing my Cal 3 exam tomorrow. Thank you so much! Keep up the great work!

[michaelzhou]

I have been using a textbook for my own self-studying, and have been banging on my head multiple times. Thank you very much for clarifying everything in the videos, and helping me understand the material better. Thank you again for your time, energy and devotion.

[MrAlbashiri]

Thank you again and again and every day.

[Jordie]

It is the end of the uni semester and I have been using your videos for my math study. You are amazing! Thankyou so much for all your help :D

[XXgamemaster]

Great vid!

It's also worth mentioning that if you are not given the value of z1 you can also derive it by plugging in x1 and y1 into the function f(x, y).

[sophiaonyoutube]

a simple and straightforward explanation. thank you very much!

[dae]

again, such pleasure to watch, what clarity

[JayRivers]

This still continues helping. Thank you very very much for this great teaches.

[JB-]

I cant believe it has taken me so long to find your channel, new sub.

[kristakingmath]

@sifrael A tangent plane is a plane in space that intersects the graph of the function at exactly one point. And you're right, these problems are mostly algebra!! :)

[bosshwang-y]

Thank you so much! Your explanation is the simplest and easiest to understand :)

[peterpiper]

You're probably the only reason I'll Ace math.. thank you

[kristakingmath]

@Dexterp37 You're welcome! Glad I could help. :)

[usd]

I love how you explain this stuff. Thank you

[kokobananas]

You make everything make sense. Thank you 🙏

[arsalanumar]

Thanks it really helpful and if we want to find normal line also so...???

[ansharora]

The only video exactly to the point. Thanks Krista! Now I don't have to drop out of college to be a billionaire.

[bosshwang-y]

Is z=f(x, y)=4x+y also applies to this steps when each variable is equal to 1?

[abdulbasitimtiaz]

You Got a 1 new Subscriber ...Thanks a Lott

[emmanuelobaro]

you are the lionel messi of calculus thank you very much