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
Trava [24]
4 years ago
15

What id the devirative of

"TexFormula1" title="f(x) = e {}^{ - x} ln(x) " alt="f(x) = e {}^{ - x} ln(x) " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
elixir [45]4 years ago
4 0

f'(x) = e^{-x} / x - e^{-x}lnx

Differentiate using the product rule

given f(x) = g(x)h(x) then

f'(x) = g(x)h'(x) + h(x)g'(x) ← product rule

g(x) = e^{-x} ⇒ g'(x) = - e^{-x}

h(x) = lnx ⇒ h'(x) = \frac{1}{x}

f'(x) = e^{-x}.\frac{1}{x} - e^{-x}lnx

      = e^{-x} / x - e^{-x}lnx


You might be interested in
(3x2 + 10x + 3) by (x + 3)​
Nata [24]
Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.

c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9

and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1

9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3

=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
6 0
3 years ago
The probability that a dvd player produced by vca television is defective is estimated to be 0.06. a sample of ten players is se
RoseWind [281]
Absolute MonarchA monarchial form of government in which the monarch exercises ultimate governmental authority.Divine RightIt is the belief that the ruler's authority comes directly from his, or her, God. (Usually the country's main religion.)Charles V (From Spain)Spanish Emperor who ruled the Holy Roman Empire.Philip II (From Spain)King of Spain from 1556 and of Portugal from 1581.Spanish ArmadaA spanish fleet of warships.Huguenot<span>...</span>
6 0
4 years ago
The French club is sponsoring a bake sale to raise at least $350. How many pastries must they sell at $3.25 each in order to rea
Aleksandr [31]

Answer:

at least 108

Step-by-step explanation:

Because 350÷3.25=107.692308 and it is rounded to 108 so our answef is at least 108.

5 0
3 years ago
Which situation can be modeled by the inequality 60−15x≥7?
Pepsi [2]

Answer:

D

Step-by-step explanation:

To find a situation for 60−15x≥7, look for a story where 60 is a constant value that is decreasing by 15 for a number of times and where equal to or at least 7 is an option.

A. x would be weeks and it would decrease by 7x. This is not it.

B. 15 songs packages would have x be the number of packages not the price. This is not it.

C. This doesn't work either because if you want to owe them less than 7 it would have the sign < not >.

D. You have 60 to spend and you decrease it by $15 for each hat you buy till you save $7. This is it.

8 0
4 years ago
Read 2 more answers
Which arrow indicates the probability of choosing a blue marble from a bag of five red marbles and fifteen blue marbles?
tangare [24]

Answer: Its c

Step-by-step explanation: hope it helps :)

8 0
2 years ago
Other questions:
  • Determine whether each statement about the rotation (x, y)=( y, -x) is true or false. Select True or False for each statement
    6·1 answer
  • What are all numbers proportional to 20/5
    8·1 answer
  • 4)758 what's the remainder​
    7·1 answer
  • The coordinates of the vertices of a triangle are 2,3 5,1 and 6,4 after one reflection the coordinates of the vertices of the tr
    15·1 answer
  • What is 5/8-1 7/8. ​
    6·1 answer
  • My question is in the picture :)
    12·1 answer
  • Help I’ll mark brain list
    10·1 answer
  • Please please help :(((
    10·1 answer
  • You have $550 in a savings account that earns 3% simple interest each year. How much will be in your account in 10 years?
    13·1 answer
  • I need help with this
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!