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]
Answer Link

Otras preguntas

Many of us live in town, suburbs , or cities were buildings, parking lots, and streets cover much of the land. On a scale of 1 to 10, one being the worst and 10
0.9y-0.7=4.2 Need help
H3C−CH2−CH3 Spell out the full name of the compound.
what is a paramecium​
6. Samantha works twice as many hours per week as Adriana. Together they work a total of 39 h one week. a) State how you will assign variables. b) Write an equa
what is the value of x^5-1/x^5 when the value of x+1/x=3?
Question The author of Passage 2 would most likely argue that the "arbitrary age restrictions" mentioned in Passage 1 are O questionable in their relevance to e
Which unit conversion would allow you to convert 1.3 yards to centimeters? Given English-metric unit relationships: 1.094 yard 1 meter, 1 inch = 2.54 cm = 1.3 y
The length of a road is 380 m, correct to the nearest 10m . Maria runs along this road at an average speed of 3.9 m/s. This speed is correct to 1 decimal place.
The first month that a company was in business, they had a loss of $3,500. Explain what must happen next month for the company to break even.