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
elena-s [515]
1 year ago
15

I don’t get either of it since I didn’t get the chance to revise it, but the homework is due very soon, so I’ve been left with n

o choice :(

Mathematics
1 answer:
Effectus [21]1 year ago
6 0

Given the function:

x^{\frac{1}{2}}\ln (3x)

We will differentiate with respect to x

For the given function, we will use the product rule

(f\cdot g)^{\prime}=f^{\prime}\cdot g+f\cdot g^{\prime}

we have two functions:

\begin{gathered} (x^{\frac{1}{2}})^{\prime}=\frac{1}{2x^{\frac{1}{2}}} \\ \ln (3x)^{\prime}=\frac{1}{3x}\cdot3=\frac{1}{x} \end{gathered}

So, the first derivative for the given function will be:

\begin{gathered} (x^{\frac{1}{2}}\ln \lbrack3x\rbrack)^{\prime}=\frac{1}{2x^{\frac{1}{2}}}\ln (3x)+x^{\frac{1}{2}}\cdot\frac{1}{x} \\  \\ =\frac{1}{2x^{\frac{1}{2}}}\ln (3x)+\frac{2x^{\frac{1}{2}}}{2x^{\frac{1}{2}}x^{\frac{1}{2}}} \\  \\ =\frac{1}{2x^{\frac{1}{2}}}\ln (3x)+\frac{2}{2x^{\frac{1}{2}}} \\  \\ =\frac{1}{2x^{\frac{1}{2}}}(\ln (3x)+2) \end{gathered}

You might be interested in
The tree club plans to hike 20 miles today. The hikers have covered 6 miles so far. If they travel at an average speed of 2 1/2
weeeeeb [17]

Answer:

8

Step-by-step explanation:

20 divided by 2.5 = 8 simple

5 0
3 years ago
What is the equation in standard form?
xeze [42]
Come on you know this! Don’t give up
7 0
3 years ago
Number of gram in p gram?
olya-2409 [2.1K]

Answer:

1 pound (lb) is equal to 453.59237 grams (g)

7 0
2 years ago
Is a + b = b + a a commutative or associative property of addition
myrzilka [38]

<em>Your</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>above</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

5 0
3 years ago
Using only odd numbers for numerators, write two different subtraction problems that have a difference of 1/2.
Korvikt [17]
3/4 - 1/4 = 2/4 = 1/2

5/8 - 1/8 = 4/8 = 1/2
5 0
3 years ago
Read 2 more answers
Other questions:
  • ∆ABC rotates 90° clockwise about point P to form ∆A′B′C′.
    10·1 answer
  • Two sides of a triangle are 9 cm and 12 cm long. What is the range of possible lengths for the third side? Enter your answer in
    13·2 answers
  • Put 20/25 into lowest terms
    12·2 answers
  • On Saturday 23,423 people went to the basketball games on Sunday 42,928 people went to the game what was the total attendance fo
    15·2 answers
  • Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a
    15·2 answers
  • 6.5x-10=4.5x+6 can someone give a step by step answer plz
    7·2 answers
  • Given that answer please
    6·1 answer
  • Loni’s credit card statement for April showed a membership fee of $85, a late fee of $45, a finance charge of $7.45, and an over
    9·1 answer
  • Determine the domain and range of the graph.
    13·1 answer
  • The first part of a number in scientific notation is called a multiplier.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!