calculus

posted by .

Find the critical number of g(t)=(t^2)/(5t+4)

  • calculus -

    vertical asymptotes where denominator is zero

    By now you should know all about how 1st and 2nd derivatives tell you about critical points:

    g' = t(5t+8)/(5t+4)^2
    g'' = 32/(5t+4)^3

    g has max/min where g'=0 and g'' not 0
    g has inflection where g'' = 0
    g increasing where g' > 0
    g concave up where g'' > 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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?
  2. Calculus

    Find the critical numbers of the function g(t)=|5t-7| If you find g'(t) you just get 5 so would there be no critical numbers?
  3. 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!
  4. calculus

    I've done the first question but I cannot get any farther. I'm so stuck. Please explain or just help me to figure out the next steps. A printed poster is to have a total area of 837 square inches with top and bottom margins of 7 inches …
  5. 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?
  6. Calculus

    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?
  7. Calculus

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

    The function f(x) = (7 x+9)e^{-2 x} has one critical number. Find it.
  9. Calculus

    Consider the function g(x) = sinxcosx. a. Find an equation of the tangent line to the graph of g at (pi/3, sqrt3/4). b. Find the critical number(s) of g on the interval [0, 2pi]. Does the function have a relative minimum, relative …
  10. Math - Calculus

    Are endpoints also critical points? I'm trying to find the critical points of a function on the interval [-1,5]. So far,the only critical point I have is 2. Does that mean -1 and 5 are also critical points?

More Similar Questions