Question

Encontre DF/DX para cada uma das funções;

A) y = x^2 - 5x + 6

B) y^2 + 2xy + y^2 = 10

C) y = x^3/3 - 3,5x^2 + 12x + 10

Answer 1

Resposta:

A)

y = x^2 - 5x + 6

dy/dx=2x-5

B)

y^2 + 2xy + y^2 = 10

2y²+2xy=10

2* 2y*dy/dx +2y+2x*dy/dx=0

4y * dy/dx+2x*dy/dx=-2y

dy/dx *(4y+2x)=-2y

dy/dx= -2y/(4y+2x)=-y/(2y+x)

C)

y=x³/3-3,5 *x²+12x+10

dy/dx=x²-3,5*2+12

=x²-7+12

C) y = x^3/3 - 3,5x^2 + 12x + 10