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

How can you write an equation of a line when you are given the slope and a point on the line? Explain
IM GIVING 20 POINTS AWAY PLEASE HELP ME WITH QUESTIONS 2-4 AND EXPLAIN HOW YOU GOT YOUR ANSWER PLEASE!!!!!
whats the equation to this
I’m confused on this question
2(I) A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 lar
Question 1 (6 points) Specific goals have clearly defined targets. True False Question 2 (6 points) Which of the following is an example of a measurable goal?
TIMED TEST HELP Andre, who has COPD, is being seen in the emergency room because he has a hacking cough. While the nurse checks his vitals, she clips an oximete
what is the value of the expression 2c(c+3)^2 if c=2
Who ‘won’ the cuban missile crisis
Identify the type of reaction in the following equation. X + Y—— XY2