Question

1. Consider the following.

h(x)=x 3sqrt(x-5)

Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) |

x =

Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

increasing:

decreasing:

2. Compare the values of *dy* and Δ*y* for the
function. (Round your answers to four decimal places.)

Function | x-Value | Differential of x | ||

f(x) = x^{4} + 4 |
x = −3 | Δx = dx = −0.01 |

dy | = |

Δy=

Answer #1

Find the critical numbers of the function. (Enter your answers
as a comma-separated list. If an answer does not exist, enter
DNE.)
F(x) =
x4/5(x −
3)2
x =

Find the critical numbers of the function. (Enter your answers
as a comma-separated list. If an answer does not exist, enter
DNE.)
g(t) = |2t − 1|
t =

Find the critical numbers of the function. (Enter your answers
as a comma-separated list. If an answer does not exist, enter
DNE.)
f(x) = x3e−7x
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 6x2 + 9x +
6, [−1, 4]

Find the critical numbers of the function. (Enter your answers
as a comma-separated list. Use n to denote any arbitrary
integer values. If an answer does not exist, enter DNE.)
f(θ) = 4 cos(θ) + 2 sin2(θ)

Consider the following. (If an answer does not exist, enter
DNE.)
f '(x) =
x2 + x − 30
(a)
Find the open intervals on which f ′(x) is
increasing or decreasing. (Enter your answers using interval
notation.)
increasing
(−12,∞)
decreasing
(−∞,−12)
(b)
Find the open intervals on which the graph of f is
concave upward or concave downward. (Enter your answers using
interval notation.)
concave upward
concave downward
(c)
Find the x-values of the relative extrema of
f. (Enter...

Find the open intervals on which the function is increasing or
decreasing. (Enter your answers using interval notation. If an
answer does not exist, enter DNE.)
f(x) = sin(x) + cos(x), 0 < x < 2π

question #1: Consider the following function.
f(x) =
16 − x2,
x ≤ 0
−7x,
x > 0
(a) Find the critical numbers of f. (Enter your answers
as a comma-separated list.)
x =
(b) Find the open intervals on which the function is increasing or
decreasing. (Enter your answers using interval notation. If an
answer does not exist, enter DNE.)
increasing
decreasing
question#2:
Consider the following function.
f(x) =
2x + 1,
x ≤ −1
x2 − 2,
x...

1) Use the First Derivative Test to find the local maximum and
minimum values of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.):
g(u) = 0.3u3 + 1.8u2 + 146
a)
local minimum values:
b)
local maximum values:
2) Consider the following:
f(x) = x4 − 32x2 + 6
(a) Find the intervals on which f is increasing or
decreasing. (Enter your answers using interval notation.)
increasing:
decreasing:...

Consider the function below.
f(x) = 7 + 4x2 − x4
(a) Find the interval of increase. (Enter your answer using
interval notation.)
(b) Find the interval of decrease. (Enter your answer using
interval notation.)
(c) Find the local minimum value(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
(d) Find the local maximum value(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)

Consider the function below. (If an answer does not exist, enter
DNE.)
g(x) = 250 +
8x3 +
x4
(a) Find the interval of increase. (Enter your answer using
interval notation.)
Find the interval of decrease. (Enter your answer using interval
notation.)
(b) Find the local minimum value(s). (Enter your answers as a
comma-separated list.)
Find the local maximum value(s). (Enter your answers as a
comma-separated list.)
(c) Find the inflection points.
(x, y)=(smaller x-value)
(x, y)=(larger x-value)
Find the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 21 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 22 minutes ago

asked 23 minutes ago

asked 23 minutes ago

asked 38 minutes ago

asked 57 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago