I am having trouble with this problem also




so far I have 4(3-x(x+5)^3+3(x+5)(3-x)

Not quite right.
Treat it as d/dx[u(x) + v(x)]
= u dv/dx + v du/dx
u(x) = (3-x)^4 v(x) = (x+5)^3
du/dx = -4(3-x))^3 (using the chain rule)
dv/dx = 3(x+5)^2

[4(3-x)^3*(-1)(x+5)^3] + [3(x+5)^2*(3-x)^4]

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. related rates with work shown

    this is a relate rates problem in calculus in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is theta. so if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing

  2. math

    For what intervals is g(x) = 1/x2 + 1 concave down? (Enter your answer using interval notation.) For this question I understand that we have to find where the second derivative is negative. So first I found the first derivative

  3. 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.

  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

  1. trigo help!

    1. differentiate cos(3/x) 2. differentiate sin(4/x) 3. differentiate 3/{sin(3x+pi)} 4. differentiate pxsin(q/x)where p and q are constants. 5. differentiate xsin(a/x) where a is constant 6. differentiate sec^3(3x^2+1)

  2. 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

  3. Math

    Differentiate g(x)=(x^3+1)(3x^2-1) so I use g'(x) X h(x) + g(x) X h'(x) so the derivative of (x^3+1)=3x^2 and (3x^3-1)=6x So (3x^2)(x^3+1) + (x^3+1)(6x) Is this correct so far. If so this is where I am stuck. I am having trouble

  4. Calculus: Differentiation

    I am having trouble solving these. Could you explain how to do these 3 questions, step by step? That would be helpful! 1. Differentiate y=sin ^-1 (x^2) at x=0.5 . Round to 3 decimal points. 3. Differentiate y= (x^2 +1) tan ^-1 (x)

  1. Calc

    intergral of (x^3 -4x + 3)/(2x) dx would this be ln abs(x^3-4x+3) + C? I don't really understand how to solve this problem. d/dx (tan (x^2)) sec^2(x^2)(2x) would this be the correct answer to find the derivative of tan (x^2)? no,

  2. Calc 121

    Okay, how would you go about finding the area of a curve from 1 to 4, when y=2x+(2/(x^2))?? It's not like the problem I asked before because here, you cannot use substitution. I tried using 2x for u and x^2 for du but it won't

  3. Calculus

    This is a large problem, sorry for the trouble. if f(x) = sqrt(x^3 + 5x + 121)(x^2 + x + 11) Find fprime/derivative of/at 0 I keep getting 16 which is not one of the multiple choice answers available. My last step is

  4. Maths - Calculus

    Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? f(t) =3-t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function

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