Tangent Planes and Linear Approximations Flashcards

1

Find the equation of the tangent plane to z=3yx² at the point (2,4)

2

Find the equation of the plane tangent to z=2x²+4y³ at the point (1, 5)

3

Find the tangent plane to the function f(x,y)=2xy+e^−x at the point (0, 1, 1).

4

Find the linear approximation to z=6+\frac{x^2}{4}+\frac{y^2}{16} at (−2, 4).

Tangent Planes and Linear Approximations