brittanyjbul brittanyjbul
  • 02-02-2017
  • Mathematics
contestada

F(x) = 2x^2 + x - 1

Find f(x+h) - f(x) / h

Respuesta :

Edufirst
Edufirst Edufirst
  • 07-02-2017
[f(x+h) - f(x) ] /h = [2(x+h)^2 + (x+h) - 1 - (2x^2 + x -1) ] / h =

= [ 2 (x^2 + 2xh + h^2) + x + h - 1 - 2x^2 - x + 1] / h =

= [2x^2 + 4xh + 2h^2 + x + h - 1 - 2x^2 - x + 1] / h =

= [4xh + 2h^2 + h] / h = 4x + 2h + 1

Answer: 4x + 2h + 1

Do you want the limit of that when h → 0?   It is 4x + 2(0) + 1 = 4x + 0 + 1 = 4x + 1

Answer Link

Otras preguntas

motocicletas periódicos peatones salida ¡Que lo pases bien! noticias semáforo esquina banco Cerca de mi apartamento, en la puerta del Sol, en la ____ de la call
Escucha varias canciones de Ana Tijoux. ¿Qué temas te llaman la atención? ¿Por qué?
President Nixon sent US forces to Cambodia in 1970 to? ​
A rope of water twisted and whirled from a brass faucet, filling the tub. I sat in the cold water up to my neck and discovered that I could slide down the back
need help with this.
Which of the following atoms has the largest radius? a. lithium b. lead C. cesium d. fluorine e. carbon
A bakery sells 12 cookies for $24.If each cookie costs the same amount,how much does 1 cookie cost,in dollars?
Who owned an inn and managed it with the help of her daughter? Your answer: Mary Brown Austin Jane Long Stephanie Austin
4. Determine if x = -2 is a solution to 4x + 7 <15. a. TRUE b. FALSE
Which option best describes how the psychoanalytic and behaviorist perspectives view anxiety? The psychoanalytic perspective views anxiety as a classically con