Tangent Plane

  • Thread starter nirali35
  • Start date
  • #1
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Homework Statement


Find the points on the graph of z=(x^2)(e^y) at which the tangent plane is parallel to 5x-2y-.5z=0


Homework Equations


An equation of the tangent plane to z=f(x,y) at (a,b) is:
z = f(a,b) + fx(a,b)(x-a) + fy(a,b)(y-b)


The Attempt at a Solution


Partial derivatives of function f(x,y)
fx(x,y) = 2xe^y => fx(a,b) = 2ae^b
fy(x,y) = (x^2)(e^y) => fy(a,b) = (a^2)(e^b)
 

Answers and Replies

  • #2
lanedance
Homework Helper
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ideas from here? you could check when the plane normal vectors are parallel, or alternatively check when the directions of both the partial derivatives are perpindicular to the plane normal

you can also do this with graidents, but it amounts to a similar thing
 

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