1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VladimirAG [237]
3 years ago
12

F(x)=(x-6)e^-3x find the interval in which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema

Mathematics
1 answer:
Over [174]3 years ago
5 0
\bf f(x)=(x-6)e^{-3x}\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)]
\\\\\\
\cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}

set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there

there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
You might be interested in
The function c=2.50(n-2)+1.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
Yuri [45]
Please put the selections. I can't tell you what isn't true if you don't.
6 0
3 years ago
Answer question 7, please with steps
vladimir2022 [97]

Answer:

Angles FVE, FVD, and EVD have V as a vertex

Step-by-step explanation:

If V is the vertex of an angle, it's the point of that angle. So, it wants every angle you can make where V is the point of it.

5 0
2 years ago
Read 2 more answers
HELP ME ASAP!!!!! I WILL GIVE BRAINLIEST
liubo4ka [24]
1=7 3=21 5=35 7=49 13=91 hope this helps :)
6 0
3 years ago
Read 2 more answers
A girl is Snorkeling 1 meter below sea level and then dives down another 0.5 meter. How far below sea level is the girl NEED THE
OLga [1]
1.5 meters will be your answer.
3 0
3 years ago
Please help me!!!!!!!!!!
goblinko [34]

Answer:

The answer is One Solution

The answer is One Solution

7 0
2 years ago
Other questions:
  • Use long division to divide 34,298 by 26, Then, select the true statement.
    15·1 answer
  • PLs answer this question
    13·1 answer
  • Christina took a total of 10 quizzes over the course of 5 weeks. How many weeks of school
    12·1 answer
  • 1. Jane saved up 20 coins, all nickels and
    13·1 answer
  • Evaluate f(x) = -4x + x2 + 16 for f(-4).​
    9·1 answer
  • Which of the following points would fall on the line produced by the point-slope form equation y - 8 = 4/5(x - 1) when graphed​
    5·1 answer
  • Maurice's family put a pool into their backyard. It is rectangular in shape and its dimension are 20 feet by 10 feet by 10 feet.
    6·1 answer
  • A local waterpark uses 5210 gallons of recycled water each day. How many quarts of water are recycled each day at the waterpark?
    15·1 answer
  • Find the values of x and y.<br> т<br> &gt;<br> 75°<br> 45<br> (6x + 3)
    13·1 answer
  • What unit of measurement would you use to measure the length of your foot?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!