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Card 10 / 11:
tangent plane
given a function f ( x , y ) that is differentiable at a point ( x 0 , y 0 ) , the equation of the tangent plane to the surface z = f ( x , y ) is given by z = f ( x 0 , y 0 ) + f x ( x 0 , y 0 ) ( x − x 0 ) + f y ( x 0 , y 0 ) ( y − y 0 )
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