Find the derivative of y with respect to x.
y= (lnx)/(3+4lnx)

Should I start by using the quotient rule?

  1. 👍 0
  2. 👎 0
  3. 👁 381
  1. You could, or...

    y= (lnx)*1/(2+lnx)

    y'= 1/x * 1/(2+lnx) - ln(x)/(2+lnx)^2 * 1/x




    in as your function
    click on differentiate
    click on "show steps"

    1. 👍 0
    2. 👎 0
  3. Derivative:

    Show steps

    3/(x (4 log(x)+3)^2)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

    asked by Brian on December 7, 2014
  2. Calculus

    Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks! calculus - Reiny, Monday, January 18, 2016 at 9:02pm to get you

    asked by Samuel for Reiny on January 19, 2016
  3. Calculus 12th grade (double check my work please)

    1.)Find dy/dx when y= Ln (sinh 2x) my answer >> 2coth 2x. 2.)Find dy/dx when sinh 3y=cos 2x A.-2 sin 2x B.-2 sin 2x / sinh 3y C.-2/3tan (2x/3y) D.-2sin2x / 3 cosh 3yz...>> my answer. 2).Find the derivative of y=cos(x^2) with

    asked by anon on March 6, 2011
  4. math derivative please help

    the derivative of 2x^e is zero right or no? do i have to use the log formula 2 x^e is x to the power 2.718.. It is not a constant and therefore the derivative is not zero. Use the formula for the derivative of x to a power that is

    asked by Anonymous on September 24, 2006
  5. calculus

    1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4.

    asked by mock on January 15, 2015
  1. Calc

    Find the area of the region bounded by the curves y = sin^-1(x/6), y = 0, and x = 6 obtained by integrating with respect to y. Please include the definite integral and anti-derivative.

    asked by LilPeep on January 3, 2018
  2. Calculus

    Find the derivative of y with respect to x. y= [(x^5)/5]lnx-[(x^5)/25] How would I go about doing this? Should I use the product rule to separate (x^5)/5]lnx ?

    asked by Natalie on September 4, 2011
  3. Calculus

    R=M^2(c/2-m/3) dR/dM=CM-M^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the

    asked by Anonymous on May 29, 2007
  4. calculus

    Find the surface area of the part of the sphere x^2+y^2+z^2=a^2 inside the circular cylinder x^2+y^2=ay (r=a*sin(θ) in polar coordinates), with a>0. First time posting on this website, sorry for the lack of details on my attempts

    asked by Johnnie on March 10, 2014
  5. Numerical Analysis

    show that f(x)=xsinπx-(x-2)lnx has at least one zero derivative in [1,2]

    asked by jessy on November 2, 2012
  6. tina

    (100 – 2Px + 1Py) (Px -20) Now, take the derivative of the above with respect to Px to get the following first order condition : 100- 4 Px + Py +40 = 0 When i try to multiply and then take the derivative of the top part out I

    asked by econ on March 14, 2011

You can view more similar questions or ask a new question.