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

CAN SOMEBODY PLS HELP MEEEEEEEEEEE AND RUDE ANSWERS WILL BE RE PORTEDDDDDD
Look at the sentence below. Choose the sentence that correctly uses a serial comma. Mr. Strop was interested in reading mystery detective fantasy and horror boo
Write a summary of Act 3 Romeo and Juliet
How do I write an equation for a line with a slope of ²/³ that has a y-intercept at -2.Titer eat at 2
Write a program that creates a login name for a user, given the user's first name, last name, and a four-digit integer as input. Output the login name, which is
Describe a way that you can envision using the power of the computer through distributed computing to enhance the quality of your life.
Parabola 4x^2+24x-10
why can't i get my answers
Find the total of a 1560 meal with 15% tip and 8% tax.
a function whose graph forms a straight line