In this lesson, we will learn how to find the equation of a tangent plane to a surface at a point and how to use tangent planes for linear approximation of functions of two variables.

Q1:

Find the equation of the tangent plane to the surface 𝑥+𝑦=4 at the point √3,1,0.

Q2:

Find the equation of the tangent plane to the surface 𝑥4+𝑦9+𝑧16=1 at the point 1,2,2√113.

Q3:

Find the equation of the tangent plane to the surface 𝑥+𝑦−𝑧=0 at the point (3,4,5).

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