posted by .

derivative of f(x) = x/(sqrt(x^2-4))

  • calc -

    I would rewrite it as
    y = x(x^2 - 4)^(-1/2_
    then use the product rule

    dy/dx = x(-1/2)(x^2-4)^(-3/2)(2x) + (x^2-4)^(-1/2)
    we could factor that

    dy/dx = (x^2-4)^(-3/2)[-x^2 + x^2-4]

    = -4/(x^2-4)^(3/2)

    check my work, I did not write it on paper first, did all the steps as I typed.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc

    find the derivative of y = sqrt(9 - 16x) Use the chain rule. First find the derivative of the sqrt, and multiply that by the derivative of what is contained inside. Cake. Use the chain rule. If we have y(x)=sqrt(9-16x) then y'=d/dx(sqrt(9-16x))*d/dx(9-16x) …
  2. finding c: calc

    let f(x)=square root x. if the rate of change of at x=c is twice its rate of change at x=1, then c=?
  3. Calc

    Can anyone help me find the derivative of these functions?
  4. Calc I

    Find the range of y = (3x-1)/(2x^2 + x - 6) I was going to take the derivative of the numerator and denomenator and then use the quotent rule to find the derivative of the function and find the critical values but I ran into the imaginary …
  5. Calc.

    Evaluate the indefinite integral. Please check my work?
  6. calc

    find derivative using limit definition: f(x) = x - sqrt(x) so f'(x) = lim h->0 [f(x+h) - f(x)]/h but I keep trying to solve by multiplying by the conjugate but I can't figure it out..there's nothing that can be cancelled or anything …
  7. Calc

    find the derivative of y =(x+3)^3 / sqrt(x^2 -1) using logarithmic differentation.
  8. Calc

    Sqrt(xyz) I rewrote it has x^(1/2)*y^(1/2)+z^(1/2) And the derivative with respect to x is Sqrtyz/(2sqrtx) is that right
  9. Calc I

    if f(t)=sqrt(4t+1) find f''(2) I got the first derivative to be: 1/2(4t-1)^-1/2 * 4t^3 and i'm trying to figure out if i need the product rule again to find the second derivative -1t^3(4t-1)^-3/2 * 4t^3 The answer if -4/27 and I'm …
  10. math please help!!

    For what values of x is the graph of y = 8e^−x^2 concave down?

More Similar Questions