Identify the critical points and find the maximum and minimum of the given function on the given interval I.a) G(x) = (1/5)(2x^3 +3x^2−12x); I = [−3,3]b) g(x) = 1/(1+x^2); I = [−3,1]c) f(x) =x/(1+ x^2); I = [−1,4]d) a(t) = cost; I = [π,5π]

obtain general and particular solution satisfying initial condition indicated using homogenous function

Explain how the First Derivative Test determines whetherƒ(x) = x2 has a local maximum or local minimum at the critical point x = 0.

Find the critical numbers for function f(x)=x-3 ln(x)

how would we find the critical value without excel

Find the critical values (if any) of the given functions. With solution please.

Find all critical points of the function: f (x) = sec−1 x − ln x

How do i find the critical​ value

Find the x coordinates of all critical points of the given function. Determine whether each critical point is relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fails, by some other method. g(x)=2x^3-6x+7 x=____(smaller value) x=____(larger value) 

find the critical points and and absolute extrema of the function y=9-x^2 on the interval [-3,1]