posted by .

How do you find the one critical number??

  • math-calc -

    Differentiate and put equal to zero.
    f'[x] = 5e^(2x) + 2e^(2x)(-4+5x)
    f'[0] = -3
    So the x-coordinate is -3

    I'd guess that that is what the question wants.

    Hope that helps

  • math-calc -

    I made a slight error. i don't want f'[0], i want f'[x] = 0 to find x = something.

    so we get 5e^(2x) + 2e^(2x)(-4+5x) = 0
    divide across by e^(2x)
    we get 5 + 2(-4+5x) = 0
    5 - 8 + 10x =0
    10x = 3
    x = 3/10
    Sorry about the mistake in my first post.

    hope that helps

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc 2

    given x=2cos(t)+t*sin(t) and y=2sin(t)-t*cost(t), with t:[pi, 2pi] find all critical values. by finding dy/dx and setting it equal to zero, i only find one value, t=6.121, within that domain. that gives you x=.987. I'm suppose to get …
  2. Math

    The critical numbers of the function: f(t)=7t^(2/3)+t^(5/3) f'(t)=14/3t^(-1/3)+(5/3)t^(2/3) I got 0 as a critical number but it is hard for me to factor the f'(t). Whats the other critical number?
  3. math-calc

    f(x)=2x^3-36x^2+162x-6 small critical number?
  4. Calc I

    Yes I was trying to find the range y = (x^2 -4)/(x^2 - x -12) ok using 2(4 +/- sqrt(15) ) sorry I forgot the minus in the derivitive but ya that makes sense but however I need three critical values that only gives me graph it and you'll …
  5. pre calc

    Find the critical number of the function. g(t) = | 6t - 9 | t =
  6. Math

    Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = x^7 − 7x^5 Honestly, I have no idea how to find the critical number!
  7. math

    If y= (x^2+20)/(x-4) Find all critical Numbers. After get f' i got the answer -5/4. What did i do wrong or is that the critical number?
  8. Calc 3

    If a function of one variable is continuous on an interval and has only one critical number, then a local maximum has to be an absolute maximum. But this is not true for functions of two variables. Show that the function f(x,y)= 3xe^y …
  9. Calculus

    The function f(x) = (9 x+2)e^{-6 x} has one critical number. Please help me find the critical number!
  10. Calc Derivatives

    Find the critical points of (4x-3)/(3x^(1/2))

More Similar Questions