calculus

posted by .

find the derivative of:

g(x) = interal(a=7x, b=6x) (u+5)/(u-5) du

Hint:

interal(a=7x, b=6x) (u+5)/(u-5) du
= interal(a=0, b=6x) (u+5)/(u-5) du + interal(a=7x, b=0) (u+5)/(u-5) du

  • calculus -

    it's integral, not interal, sorry for the mistake

  • calculus -

    Using Leibnitz's integral rule,

    d/dx ∫[7x,6x] (u+5)/(u-5) du
    = 6*(6x+5)/(6x-5) - 7*(7x+5)/(7x-5)
    = 60/(6x-5) - 70/(7x-5) - 1

  • calculus -

    Thank Steve. But how do you get 60 or 70?
    or the -1?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. CALCULUS-plz!!!!

    Find derivative w/ respect to x: y=x^5/(1-x)ã(x^2+2) (hint: there is an easy way and a hard way!)
  2. calc check

    <<y=(1/A)*integral from a to b of: (1/2)[f(x)]^2 dx >> If that is the y value of the center of mass, I don't know why the factor (1/2) is there I also don't agree with your calculation of the x value, which should be 1/(ln …
  3. Calculus

    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 …
  4. Calculus

    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 /3x …
  5. 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 …
  6. Derivative Calculus

    I just need my answers checked. 1) Find the derivative. f(x)=3x^5/4 - 8/9x^9/8 + x^2 - 9x + 1 Answer: f’(x)= 15/4x^1/4 - x ^1/8 + 2x -9 2) Let f(x)= 7x^3 - 9x. Find f’(5) Answer: f’(x)=21x^2-9 f’(5)=516 3) Find the given limit …
  7. calculus

    Find the derivative of the function. HINT [See Quick Examples on page 835.] f(x) = 9x ln x
  8. calculus

    Differentiate both sides of the double angle identify sin 2x= 2 sin x cos x to determine an identify for cos x. Find the first derivative, second derivative, third fourth, fifth, sixth, seventh and eighth derivative. Use the results …
  9. Economics

    what two methods can a less developed country use to finance its economic development?
  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