Answer:
Point of inflection on (oo, - 340) and (- 340, - oo)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A function is said to be concave upward on an interval if f″(x) > 0 at each point in the interval and concave downward on an interval if f″(x) < 0 at each point in the interval. If a function changes from concave upward to concave downward or vice versa around a point, it is called a point of inflection of the function.
Because g(t) is a polynomial function, its domain is all real numbers
g(t)=3t^5 - 5t^4 - 120t^2 + 60
Let g(t) = y
First derivation
dy/dt = 15t^4 - 20t^3 - 240t
Second derivation
(dy/dt)^2 = 60t^3 - 60t^2 -240
If (dy/dt)^2 = 0
60t^3 - 60t^2 -240 = 0
Let assume that t = 2
Substituting 2 into the above polynomial give zero
Therefore of the root is t = 2
Please find the attached files for the remaining solution.
