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
blondinia [14]
3 years ago
15

Find d/dx(e^3ln(x)). a. e^3lnx b.e^3ln(x)/x c.3e^3lnx d.3x^2

Mathematics
1 answer:
kow [346]3 years ago
3 0

Answer:

D. 3x²

General Formulas and Concepts:

<u>Algebra II</u>

  • If you raise e to the natural log, they cancel out and vice versa

<u>Calculus</u>

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />f(x)=e^{3lnx}<u />

<u />

<u>Step 2: Rewrite</u>

<u />f(x) = x^3<u />

<u />

<u>Step 3: Take Derivative</u>

  1. Basic Power Rule:                    f'(x) = 3x³⁻¹
  2. Simplify:                                    f'(x) = 3x²
You might be interested in
Which professionals most directly use geometry in their work? A. accountants B. astronomers C. judges D. pharmacists E. politici
GrogVix [38]

Answer:

Astronomers directly use geometry in their work rather than accountants , judges, pharmacist and politicians.

They used geometry to measure velocity , direction, distance, relativity, momentum, and probability. They used it to look at objects in the sky with a telescope by setting a required angle to get a proper view .

But Accountants, judges, pharmacist and politicians are not in use of geometry directly or frequently.

Hence, Option 'B' is correct.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help me with this question please
IRISSAK [1]

We have consecutive odd numbers for the sides of a triangle, perimeter 201.  We could write an equation, but clearly the middle side is 201/3 = 67, so the other two sides are 65 and 69.

This is almost an equilateral triangle, angles around 60 degrees, so not obtuse, meaning one angle over 90 degrees.

Scalene means the sides are all different lengths; we didn't even have to solve the problem to know this is true.

Smallest side 61, false.

Largest side 69, true.

This last one doesn't make much sense to me.  What's a unit here?  Dilation of 1/3 means all the linear measures become 1/3 as big, including the perimeter.  It would decrease much more than 3 inches, since it would go from 201 inches to 67 inches.  If I have to answer I'd go with false.


5 0
3 years ago
If the length and width of a rectangular solid are increased by 10% and the height is increased by 20%, by what percent is the v
9966 [12]
LWH=V

increasse by 10% means times 1.10
increase by 20% is times 1.20



L turns to 1.1L
W turns to 1.1W
H turns to 1.2H

(1.1L)(1.1W)(1.2H)=1.452LWH
so it is increased by 45.2%

8 0
3 years ago
How do you divide fractions
OLga [1]
You have to flip the last fraction and multiple both the top by the top and the bottom by the bottom then you have to simply but just look that up or ask your teacher.
7 0
4 years ago
Read 2 more answers
Indicate the answer choice that best completes the statement or answers the question.
Reil [10]

41 1/4 by 25 ft

Hope it helped!!!

7 0
3 years ago
Other questions:
  • a bank advertises a 2/1 ARM at 5.15% with a 2/6 cap. what is the maximum interest rate that can be charged during the fifth year
    10·1 answer
  • How do I use a model to show 2/6 divided by 1/12
    7·1 answer
  • Find the sum of the first 10 terms if a(n) = n^2 - n +1
    12·1 answer
  • susan took 2 hours to write 30 party invitations write an equation to represent the number of minutes m susan spend writing x in
    15·1 answer
  • If one bag of grass seed will cover 225 square feet, what is the minimum number of bags the haney family will need to cover thei
    6·1 answer
  • Define the word expression to me. Use proper English and complete sentences.
    6·1 answer
  • Write this number in expanded form using fractions and decimals 0.362
    15·2 answers
  • Find x show your work
    13·2 answers
  • Who is more likely to run into problems using a credit card..
    9·1 answer
  • The circumference of the hub cap of a tire is 83.21 centimeters. Find the area of this hub cap. Use
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!