Question

Find the absolute and local extrema for f(x) = (x^2 - 1)^3 on [-1,2].

Answer #1

Find the global extrema of the function f(x) = (x^2 -
1)^1/3 on the interval [-1,2]

Find absolute and local extrema of function f(x)=e^{x^3+x^2+x}
on interval [-1,1] and determine which one is local max, local min,
absolute max, and absolute min. Write your answers clearly and
concisely, including all work. Any numerical answers may be written
either in exact or in approximate form as long as an exact solving
method is used.

Find the absolute extrema of the function on the closed
interval
f(x)= 1 - | t -1|, [-7, 4]
minimum =
maximim =
f(x)= x^3 - (3/2)x^2, [-3, 2]
minimim =
maximim =
f(x)= 7-x, [-5, 5]
minimim =
maximim =

1) find the
absolute extrema of function f(x) = 2 sin x + cos 2x on the
interval [0, 2pi]
2)
is f(x) = tanx
concave up or concave down at x = phi / 6

Use analytical methods to find all local extrema of the function
f(x)=3x^1/x for x>0.
The function f has an absolute maximum of ? at x=?
The function f has an absolute minimum of ? at x=?

Find the absolute extrema of the given function in the given
interval
f(x) = 4x3+3x2-18x+3 , ( 1/2,3)

find the relative extrema of f(x)=x^3-3/2x^2 on the interval
(-1, 2)

Find the absolute extrema if they exist, as well as all values
of x where they occur, for the function f(x)=
3x^4-28x^3+72x^2+1.

Find the absolute extrema of the function over the region
R.
f(x,y) =x^2−4xy+2
R= {(x,y): 1≤x≤4, 0≤y≤2}
Show plenty of steps please! If possible, fairly neat please!

Find the absolute extrema if they exist, as well as all values
of x where they occur, for the function:
f(x) = x + e^3x ; on the domain [-3 , 2]

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