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

Write a poem regarding life.
What is the answer
serval devices devolped by thomas edison ked to
*A 0.145 kg baseball reaches a speed of 36 m/s from rest when a bat strikes. If the average force of 500 N was applied on the ball by the bat, what is the impac
What exclusions are placed on the variable a for the fraction (am^2+4m)/a^2+4 My choices are: -2 0 none
What is the coefficient in the expression 10x+ 810x+8?
Mrs. Martin deposit is $2350 in a money market account her account earns an interest rate of 18% if she does not deposit or withdraw any money from the account
Estimate the quotient by rounding the equation to relate to a one - digit fact. Explain your thinking in the space below. 432 divided by 73
Emergency Need to get to 90! Please answer, this is exterior angle theorem.
The procedure for making homemade lemonade is quite easy. First, combine one cup of sugar with one cup of water. To make a simple syrup, heat the mixture until