Question

Consider the function f(x) = x ^{2} − x on [−1, 1]. Find
the minimum and the maximum of f(x) on the given interval.

Answer #1

Consider the function below. y=f(x)= x/x^2+x+1
Find all critical numbers of (f), if any.
Find interval(s) on which f is decreasing
Final all local maximum/minimum points of f.

find the absolute maximum and minimum values of the function
f(x) = 10x / 1+64x^2 on the interval [-1/24, 2]
Absolute maximum value =
Absolute minimum value =

Find the maximum value and the absolute minimum value of the
function f(x)=x^2-(1/x) on the interval [-2.25,-0.25]

Find the absolute maximum and minimum values of the function
f(x) = x^4-2x^2+1 on the interval [0,3]

consider the function f(x)=x^4-18x^2+9 and find the
absolute maximum and absolute minimum if -2</=x</=-7

Find the absolute minimum and maximum of the function
on the given closed interval.
f(x)=3x4
-4x3-12x2+1 on [-2, 3]

Consider the function f(x)=6x^2−4x+11, on the interval
, 0≤x≤10.
The absolute maximum of f(x) on the given interval is at x =
The absolute minimum of f(x) on the given interval is at x =

consider the function f(x) = x/1-x^2
(a) Find the open intervals on which f is increasing or
decreasing. Determine any local minimum and maximum values of the
function. Hint: f'(x) = x^2+1/(x^2-1)^2.
(b) Find the open intervals on which the graph of f is concave
upward or concave downward. Determine any inflection points. Hint
f''(x) = -(2x(x^2+3))/(x^2-1)^3.

Find absolute minimum and maximum of the function
F(x)=x^3+x^2-x+2 on closed interval (-3,0)

1) Find the maximum and minimum values of the function
y = 13x3 +
13x2 − 13x on the
interval [−2, 2]
2)Find the minimum and maximum values of the function f(x) =
4 sin(x) cos(x) + 8 on the interval [0, pi/2]
3) Find the maximum and minimum values of the function y =
5 tan(x) − 10x on the interval [0, 1].
4)Find the maximum and minimum values of the function f(x) =
ln(x)/x [1, 4] on the...

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