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Beantwortet: Gleichung der Tangentialebene

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Hallo,

f(x.y)= 4x^5+2x+5xy−4y^4

fx=20x^4 +2 +5y

fy= 5x -16y^3

---->Punkt einsetzen:

fx(2, -1)= 317

fy(2, -1)= 26

z0= 4 *2^5 +2*2 -10 -4*1

z0=118

z=z0+fx(x0,y0) (x-x0) +fy(x0,y0) (y-y0)

z=118 +317( x-2) +26(y+1)

z= 118 +317x -634+26y+26

z=317x +26y -490


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