posted by .

using chain rule find the derivative of y=xsin1/x

  • CAlculus -

    y' = sin(1/x) dx/dx + x d(sin(1/x))/dx
    = sin (1/x)+ x cos(1/x)d(1/x)/dx
    = sin (1/x)+ x cos(1/x)(-1/x^2)
    = sin(1/x) - (1/x)cos(1/x)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MoRe HeLp PlEaSe!! (calc)

    Also can I get some help with this LONG, TIRESOME PROBLEM?
  2. Math, Calculus

    Find the derivative of the function. y= xcosx - sinx What's the derivative?
  3. Calculus

    Find the derivative: h(x)=7x/sqrt(5-2x) Using the chain rule...I figured out my previous post.
  4. Calculus

    How do I use the chain rule to find the derivative of square root(1-x^2) also, are there any general hints or tips for determining when the chain rule and product or quotient rule should be used?
  5. Calculus

    find the derivative of f(x)=((x^2+3)^5+x)^2 using the chain rule. I know that I would start with f'(x)=2((x^2+3)^5+x) but I don't know how to do the rest
  6. calculus

    Please help. Applying the chain rule, how do I find the derivative of f(x)=In(e^x-e^-x) (x>0) and then using this answer use the quotient rule to find the second derivative. I cannot do this so any answer greatly appreciated.
  7. calculus-derivatives

    y=cos^3(12theta) find derivative using chain rule
  8. calculus

    let y=(x+sin(x))^2 f(x)=? g(x)=? (f o g)'=?
  9. Applied Calculus

    Find the derivative of this function: g(t)=(8t+10)^2*(10t^2-7)^-3 Using the Chain Rule.
  10. 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)). …

More Similar Questions