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Math Help - partial derivatives

  1. #1
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    partial derivatives

    hi
    can someone plz help me with this question

    The point (3,1) lies on the level curve f(x,y)=10 of the function f(x,y) . The partial derivatives at this point are fx(3,1)=2 and fy(3,1)=-5. What is the slope of the tangent line to the level curve at the point (3,1) ?
    kind regards
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  2. #2
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    Quote Originally Posted by lalji View Post
    hi
    can someone plz help me with this question

    The point (3,1) lies on the level curve f(x,y)=10 of the function f(x,y) . The partial derivatives at this point are fx(3,1)=2 and fy(3,1)=-5. What is the slope of the tangent line to the level curve at the point (3,1) ?
    kind regards
    \nabla f(x,y)= 2\vec{i}- 5\vec{j} points perpendicular to the tangent to the level curves so the tangent vector is parallel to 5\vec{i}+ 2\vec{j}. Can you find the slope from that?
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