cal 2

posted by .

find the derivative


ln [x^3 +((x+3)^3)((x^2)+4)^7

  • cal 2 -

    You left out a ] somewhere

  • cal 2 -

    Hmm the logical fix would be
    ln [x^3 +((x+3)^3)]((x^2)+4)^7

    a^3 + b^3 = (a+b)(a^2-ab+b^2), so

    x^3 + (x+3)^3 = (x+(x+3))(x^2 - x(x+3) + (x+3)^2)
    = (2x+3)(x^2 + 3x + 9)

    and the log of the product then becomes

    y = ln(2x+3) + ln(x^2+3x+9) + 7ln(x^2+4)

    y' = 2/(2x+3) + (2x+3)/(x^2+3x+9) + 14x/(x^2+4)

    If my placement of [] is wrong, please feel free to clarify

  • cal 2 -

    Find the derivative of the function
    y=ln(2x/x+3)

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. Pre-cal

    Hi, I don't understand this problem also. Find the the relative maximmum and minimum of x^3 - 6x^2 + 15. I'm supposed to do it using a graphing calculator but I still don't see any "lows" or "highs". Relative max and mins will occur …
  3. calc

    derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct?
  4. 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 …
  5. Integrated Physics and Chemistry

    The specific heat capacity of copper is 0.09 cal/g°C. How much energy is needed to flow into a 10-gram sample to change its temperature from 20°C to 21°C?
  6. cal

    Find the derivative of the function. f(x)= x^8√5-3x
  7. cal

    Find the second derivative of the function. f(x)= (3x^3+7)^7
  8. CAL- derivative

    Find the derivative; y= x^3(5x-1)^4 So this is my answer y'=2x(5x-1)^3 + 10x + x(5x-1) Please correct me if my answer is wrong.
  9. CAL

    Consider the function y = 3x^5 – 25x^3 + 60x + 1 Use the first or second derivative test to test the critical points. How many relative maxima did you find?
  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