Calc

posted by .

Find f'(7) for f(x)=6x^ln(x)

  • Calc -

    Use chain rule.
    Let
    y=6xln(x)
    take log on both sides:
    ln(y) = ln(6)+ln(x)*ln(x)
    ln(y) = ln(6) + ln²(x)
    differentiate both sides w.r.t. x
    (1/y)y' = 0 + 2ln(x)*(1/x)
    y' = dy/dx
    = y*2ln(x)*(1/x)
    = 6xln(x)*2ln(x)*(1/x)
    = 12xln(x)-1*ln(x)

    Check my calculations.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre-Calc

    I'm stuck on a pre-calc problem. I need to find y as a function of x, where the constant c is a positive number for In(y-1)+In(y+1)= -x+c express your question as ln[(y-1)(y+1)] = -x+c change that to exponential form e^(-x+c) = (y-1)(y+1) …
  2. Studying for Calc

    I have a quiz on derivatives coming up and I really want to do well, but i'm not sure how to go about studying calc. i have no trouble studying for other subjects, but i'm doing poorly in calc and i need to make some changes in my …
  3. Calc

    Can someone help me with this calc problem?
  4. MATHS

    A CONE WAS CONSTRACTED FROM PLASTIC, HAVE A HEIGHT OF 20cm (PART C). THE LID IS MADE UP OF HEMISPHERE HAVE RADIUS 0F 5cm (PART A) AND PYRAMID HAVE VOLUME OF 81,667cm³. THE LID FITS EXACTLY OVER THE CONE. A) CALC. THE VOL. OF PART …
  5. Calc

    Find dy/dx by implicit differentiation. y^5 + x^2y^3 = 1 + x^4y So, first I find the derivative: 5y^4 + 2x3y^2 = 4x^3(1) Now I find dy/dx: But this is where I don't know what to do?
  6. Pre-Calc

    Can you show me how to find the rectangular equation of r=2costheta + 3 sin theta All I need is an example to work off I was absent today from Pre-Calc and I have homework to do and no explanation with them-Please help with this one …
  7. calc

    Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ...If you do L'Hop. Rule it would take forever, right?
  8. help chem!:/

    a) Calc. PH of 0.010 M HF and 0.030 M KF e) calc. PH Zn(OH)2 in wAter
  9. Pre-Calc/Calc

    Which set of parametric equations corresponds to this rectangular equation?
  10. AP Calc

    When a chain hangs under its own weight, its shape is catenary. The equation of a catenary with a vertex on the y-axis is y=e^x+e^-x. Find the length of the chain from x=-2 to x=2. Then use the same technique from Problem #8(Previous …

More Similar Questions