Tangent Planes and Linear Approximations

Practice Questions

Calculus 3 › Tangent Planes and Linear Approximations

Questions

6

1

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

2

Find the tangent plane to the function $f(x,y) = 2xy+e^{-x}$ at the point .

3

Find the equation of the plane tangent to at the point .

4

Find the equation of the plane tangent to $z=3\sin(x)+2\cos(y)$ at the point $(\frac{\pi}{2},\frac{\pi}{6})$

5

Find the equation of the tangent plane to at the point

6

Find the Linear Approximation to $z=2+\frac {x^2}{9}+\frac {y^2}{4}$ at .

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