Question

a derivada parcial fyx da função f(x,y)= 4x^2y^2 - xy no ponto (1;1) é:

Answer 1

f(x,y) = 4x²y² - xy

Dy = 4x²(2y) - x(1)

Dy = 8x²y - x

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Dyx = 8(2x)y - 1

Dyx = 16xy - 1

Dyx(1,1) = 16(1)(1) - 1

Dyx(1,1) = 16 - 1

Dyx(1,1) = 15