calculus
posted by diana .
Find the critical number of g(t)=(t^2)/(5t+4)

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
Similar Questions

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? 
Calculus
Find the critical numbers of the function g(t)=5t7 If you find g'(t) you just get 5 so would there be no critical numbers? 
Math
Find any critical numbers of the function. (Enter your answers as a commaseparated list.) g(x) = x^7 − 7x^5 Honestly, I have no idea how to find the critical number! 
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 … 
math
If y= (x^2+20)/(x4) Find all critical Numbers. After get f' i got the answer 5/4. What did i do wrong or is that the critical number? 
Calculus
If y= (x^2+20)/(x4) Find all critical Numbers. After get f' i got the answer 5/4. What did i do wrong or is that the critical number? 
Calculus
The function f(x) = (9 x+2)e^{6 x} has one critical number. Please help me find the critical number! 
calculus
The function f(x) = (7 x+9)e^{2 x} has one critical number. Find it. 
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 … 
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?