rebeccar3535 rebeccar3535
  • 15-09-2017
  • Mathematics
contestada

DERIVATIVES PLEASE HELP ME IM LOST

Find the derivative of the function.
f(x) =x^3 − 2x^2 + 3
----------------------
x^2

Respuesta :

wizard123
wizard123 wizard123
  • 15-09-2017
Use quotient rule:
[tex]\frac{f'g-fg'}{g^2} [/tex]

[tex]f = x^3 -2x^2+3 \\ \\ f' = 3x^2 -4x \\ \\ g = x^2 \\ \\ g' = 2x[/tex]

Substituting everything in:

[tex]=\frac{(3x^2-4x)(x^2) - (x^3 -2x^2+3)(2x)}{(x^2)^2} \\ \\ =\frac{x^4-6x}{x^4}[/tex]
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