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

Corinne is writing a persuasive message to her staff and includes the opening sentence Your hard work in planning last month's trade show made it the most succe
Evaluate the expression c=-2.7 c+18 =?
An electron has a velocity of 1.50 km/s (in the positive x direction) and an acceleration of 2.00 ✕ 1012 m/s2 (in the positive z direction) in uniform electric
if f(x)+5x-4/2 find f(10)
The height of a flare fired from a 32-foot high platform can be modeled by the function h= -16ť + 16t + 32, where h is the height in feet above the ground and t
what is cube root? also whats square root? help?​
46 degrees (4x) degrees
If a bond is currently trading at its face​ (par) value, then it must be the case​ that: A. the​ bond's yield to maturity is equal to its coupon rate. B. the​ b
what color should i get a iphone​
what would benjamin franklin say about the Purkapile’s message ?