TeasiaM633656 TeasiaM633656
  • 03-11-2022
  • Mathematics
contestada

Calculate the second and third derivative of y =9x-1/x

Respuesta :

KiaE243684 KiaE243684
  • 03-11-2022

y = 9x - 1/x

I like to rewrite 1/x as x^-1

y = 9x - x^-1

Taking the derivative

dy/dx = 9 - -1 x^-2

= 9 + 1/x^2

That is the first derivative

Now we do it again

dy^2/dx^2 = d/dx ( 9 + 1/x^2)

= d/dx( 9 + x^-2)

= 0 -2x^-3

=-2/x^3

The second derivative is -2 / x^3

Answer Link

Otras preguntas

what two numbers multiply to 20 and add up to 17
What is made out of one atom
Select the expression that has a product with only two decimal places A= 0.45 times 37 B=67 times 5.3 C= 2.17 times 3.48. D=6.148 times 6.32
The children of a colour-blind mother and a normal father will be [A] Normal daughters and sons[B] Normal sons and carrier daughters[C] Colour blind sons and ca
What is 70% of 700 on a test
Superconducting materials generate a strong ______ field. gravitational pressure magnetic nuclear
If a bonding pair of electrons is unequally shared between two atoms, the bond is a. ionic. b. nonpolar covalent. c. coordinate covalent. d. polar covalent.
how is the bladder and a balloon alike
How is the pause used in speaking?to add emphasis, to change the meaning of a sentence, to call attention to what one is saying, to signal that one is through s
In Act I of Macbeth, whom does Duncan name as his successor? a. Banquo b. Donalbain c. Macbeth d. Malcolm