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
Directions: Read the scenario below and calculate what Marcus' pay is after deductions are
hram777 [196]

Answer:

$346.65

Step-by-step explanation:

If Marcus worked a total of 40 hours, and he earns 10$ an hour, his payment before deductions is 400$, as put in the "gross pay".

We need to sum all the deductions:

9.75 + 3.10 + 30 + 10.5 = 53.35

Now, to know Marcus net pay, we just need to subtract his gross pay from this total deduction:

400 - 53.35 = 346.65

So, his net payment is $346.65

7 0
3 years ago
Find slope intercept form of 5x+8y=120 passing through (4,5)
yarga [219]

Answer:

y=-(5/8)x+(15/2)  or  y=-0.625x+7.5

Step-by-step explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

5x+8y=120

isolate the variable y

8y=-5x+120

y=-(5/8)x+15

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-5/8 and point (4,5)

substitute and solve for b

5=-(5/8)(4)+b

b=5+(20/8)

b=60/8=15/2=7.5

substitute

y=-(5/8)x+(15/2)

or

y=-0.625x+7.5

5 0
3 years ago
Find the probability of its being a day of the week with a "T" in it remember to reduce your answer in simplest form is necessar
madreJ [45]
Monday <u>T</u>uesda<u>y</u> Wednesday <u>T</u>hursda<u>y</u> Friday Sa<u>t</u>urda<u>y</u> Sunday
3/7
A.
3 0
3 years ago
Can someone please help
Paraphin [41]
2(3t) + 2(4t) + 7t + 6 = 48
6t + 8t + 7t + 6 = 48
21t = 42
    t = 2

answer
2 (first choice)
6 0
3 years ago
2. Two of the radii for the inscribed circle below have the expression 2x -8 and 4x
expeople1 [14]

Answer:

13

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • –3x + 5y = –9<br> 4x+8y=12
    15·1 answer
  • The perimeter of a rectangular is 86 m. If the width were doubled and the length were increased by 22 m, the perimeter would be
    5·1 answer
  • Can someone help me with this question?
    12·2 answers
  • JK is tangent to a circle with centre H as shown below. What is HK ?<br> 8 mi<br> 15 mi
    5·1 answer
  • tom and jerry have to stuff and seal 63 envelopes for a new marketing campaign. jerry can stuff and seal 15 envelopes in 2 minut
    12·1 answer
  • David divided 16.24 by 4 and got the quotient 4.6. Find the correct quotient and tell what you think David did wrong.
    15·1 answer
  • Each time Caroline goes shopping she decides whether or not to buy fruit.
    11·1 answer
  • A helicopter flies 238 miles in 3 hours 10 minutes. Calculate the average speed.
    7·1 answer
  • Please help will give brainliest
    6·1 answer
  • What is the measurement of the angle shown?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!