Post a New Question

math

posted by .

how do you find the derivative of f(x)=2x/(x^2+x+1)^1/2 HELP A.S.A.P.?

  • math -

    carefully use the quotient rule

    f'(x) = [ (x^2+x+1)^(1/2) (2) - (1/2)(x^2 + x + 1)^(-1/2) (2x+1)(2x) ]/(x^2 + x + 1)
    = [ (x^2+x+1)^(1/2) (2) - (x^2 + x + 1)^(-1/2) (2x+1)(x) ]/(x^2 + x + 1)
    = (x^2+x+1)^(-1/2) [ 2(x^2+x+1) - x(2x+1) ] / (x^2+x+1)
    = (x+2)/(x^2+x+1)^(3/2)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Chain Rule

    Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x …
  2. Math

    Consider the following where s is in feet and t is in seconds. s(t) = t^3 + 4t^2 + 6t + 4 (a) Find v(t). v(t) = (b) Find a(t). a(t) = (c) Find v(3). (d) Find a(3). v(t) is the first derivative of s(t). a(t) is the second derivative …
  3. calc

    derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct?
  4. Calculus

    Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x ã3x …
  5. Calculus

    Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x /3x …
  6. Calculus - derivatives

    Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative …
  7. math

    Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x ® h + - when it exists is called A) The derivative of f at a B) The derivative of f at h C) The derivative of f at x D) The derivative of f at x = h
  8. math

    Find the derivative of y=3x-2(4^x) Here is my attempt: Derivative of 3x is 3 Derivative of 2 is 0 derivative of 4^x is 4^x(ln(4)) Answer: 12^x(ln(4)) Is this correct?
  9. Calculus

    1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^-1 x is 1/(|x|*sqrt(x^2 -1)). …
  10. Math Derivative

    Find derivative of f(x)=g(h(x)) Would the derivative be something like: g'(h(x))*h'(x) ?

More Similar Questions

Post a New Question