Question

1. Determinar la deriva de f(x) = 5x3+ 3x² - 6x-1​

Answer 1

Respuesta:

F(X) = 5x^3+3x^2-6x-1

F ' (X) = d/dx[5x^3+3x^2-6x-1]

F ' (X) = d/dx[5x^3]+d/dx[3x^2]-d/dx[6x]-d/dx[1]

F ' (X)= 3(5x)^(3-1)+d/dx[3x^2]-d/dx[6x]-0

F ' (X) = 15x^2+3×d/dx[x^2]-d/dx[6x]

F ' (X) = 15x^2+3(2x)-d/dx[6x]

F ' (X) = 15x^2+6x-6×d/dx[ x ]

F ' (X) = 15x^2+6x-6(1)

F ' (X) = 15x^2+6x-6

R// F ' (X) = 15x^2+6x-6 es la derivada de F(X) = 5x^3+3x^2-6x-1 .

Espero ello te sea útil.

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