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the little
the little asked in Ciências e MatemáticaMatemática · 1 decade ago

calcule a derivadda parcial nos indicados?

a) f(x,y,z)=ln(xy+z) no ponto (1,2,3)

b) f(x,y)=(raiz quadrada de xy + (x/y))= no ponto (2,1)

1 Answer

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  • lou h
    Lv 7
    1 decade ago
    Favorite Answer

    a) df/dx= y/(x·y+z)

    df/dy=x/(xy+z)

    df/dz=1/(xy+z) -->

    ∆f(1,2,3)= (2/5, 1/5, 1/5)

    b) f(x,y)=√(xy) + x/y

    df/dx = y /[2·√(xy)] + 1/y

    df/dy= x/ [2·√(xy)] -x/y^2

    ∆f(2,1) =(1/(2·√2) +1, 2/(2·√2) -2) = ( (√2+4)/4, (√2-4)/2 )

    Saludos.

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