Question

A função derivada de f(z)=-(2xy+5x)+(x²-5y-y²)i é:

Escolha uma:
a. f'(z)=-(2x+5)+(2x-5-y²)i
b. f'(z)=-2y-5+2xi
c. f'(z)=-(2y+5x)+(2y-5-y²)i
d. f'(z)=-2x+(2x-y²)i
e. f'(z)=-(2x+5)+(2x-5)i

Answer 1

u(x,y)= -2xy-5x ; du/dx= -2y-5; du/dy=-2x
v(x,y)= x²-5y-y²; dv/dy=-2y-5; dv/dx= 2x

f(z) =(du/dx)  -(du/dy) = -2y-5-(-2x)= -2y-5+2x ou
f(z)= (dv/dy)+(dv/dx)= -2y-5+2x

resposta: -2y-5+2xi