(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1.Find the equation of the tangent plane at p=(0,0) on the surface z=f(x,y)=√(1-x²-y²)

p is a vector.

2.Give an intuitive geometric argument to support the result

2. Relevant equations

3. The attempt at a solution

So I have no problem finding the equation of the tangent line. I am supposed to use the gradient to find it. But I don't really understand the second question. What is a geometric argument?

Is it correct if I justify my answer by saying that the tangent plane is locally linear at p? Is that a geometric argument?

Somehow, I feel that it is just not enough.

Don't give me the answer please. Just a hind of what it means by "geometric argument."

Thank You

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# Help with calculus

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