Math SOmeone please please help

posted by Anonymous

Find the derivative of the function.
g(u) = (5+u^2)^5(3-9u^2)^8

Could someone please explain the steps that would lead me to the answer? I'm completely stuck.

  1. MathMate

    We can solve this by differentiation of a function of a function.

    g(u) = (5+u^2)^5(3-9u^2)^8
    p(u)=(5+u²), and

    g(u)=p(u)^5 * q(u)^8
    Using the chain rule, we get
    =5p(u)^4*2u ...(1)
    =9q(u)^7*(-18u) ... (2)

    Now apply the product rule to the original function g(u):

    =(p(u)^5*d(q(u))/du + d(p(u))/du * q(u)^8

    Substitute (1) and (2) and simplify to get:
    or some equivalent expression.

  2. Bosnian

    Go to : calc101 com

    Click option derivatives

    In rectacangle:Take the derivative of


    In rectacangle:with respect to:
    type u

    In rectacangle:and again with respect to
    type u

    Then click option: DO IT

    You will see solution step-by-step

    By the way on this site you can practice any kind of derivation.

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Economics

    Ive been stuck on this forever now if someone could please walk me through it i was appreciate it: 1: Suppose John had a utility function of U=X^2/3Y^1/3 . Derive Johns demand function from his utility function showing all the necessary …
  2. calculus - what is the derivative?

    Let f(x) = 2x^2 + 1 a. Find the derivative f' of f. b. Find an equation ofthe tangent line to the curve at the point (1,3). c. Sketch the graph of f. *Can someone please help me?
  3. Algebra II Please check-

    Please help-What is the equation of the ellipse with foci (0,6), (0,-6) and co-vertices (2,0),(-2,0) Please explain the steps because I have 5 to do for homework-Thank you-I'm really stuck on this I thought the answer would be x^2/4 …
  4. calculus--please helpp

    if the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, find k. all i know is that its related to finding a derivative and i m basically completely lost....can please someone provide me some help?
  5. Math Help Please

    Would someone please be kind enough to explain steps for this one. Thank you. If m and n are positive integers and m is 250% of n, what percent of m is 2n?
  6. calculus

    Okay, so I have this problem... this was the original: (t^2-1?
  7. math/ algebra 1

    can someone please help me explain how they got this answer and can someone please show me the steps into solving this question?
  8. math ergent please please...

    Explain how to find the equation of the vertical asymptotes of a reciprocal function in full details. * Steve told me to look up in the web, and did, but still i couldn't find the correct one. someone help please....
  9. Math Help Please!

    Solve the system of equations algebraically. Show all of your steps. y=x^2+2x y=3x+20 Can someone please explain to me how to do this?
  10. matha

    Please I am lost on how to find the derivative of function using first principal,could someone please work out an example on how to solve such problem?

More Similar Questions