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
liubo4ka [24]
3 years ago
14

Finding Higher-Order Derivatives In Exercise, find the second derivative of the function.

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0

Answer: The second derivative of the function is f''(x)=\dfrac{1}{2x}

Step-by-step explanation:

Since we have given that

f(x)=x\ln \sqrt{x}+2x

We need to find the second derivative of the function.

So, the first derivative would be

f'(x)=1\times \ln\sqrt{x}+x\dfrac{1}{\sqrt{x}}\times \dfrac{1}{2\sqrt{x}}+2\\\\f'(x)=\ln \sqrt{x}+\dfrac{1}{2}+2\\\\f'(x)=\ln\sqrt{x}+\dfrac{3}{2}

Now, second derivative would be

f''(x)=\dfrac{1}{\sqrt{x}}\times \dfrac{1}{2\sqrt{x}}\\\\f''(x)=\dfrac{1}{2x}

Hence, the second derivative of the function is f''(x)=\dfrac{1}{2x}

You might be interested in
Answer for 2,3,4 help pls thanks
Lemur [1.5K]

(90 \times 15) \div 9 =  \: is \: your \: answer

Step-by-step explanation:

1. B is true

2 . I don't know

3.

4 0
3 years ago
How do you solve 32 - 6x = 53?
katrin2010 [14]

\large\boxed{x=-\frac{7}{2}}

To solve for x, we need to isolate it on one side of the equation.

The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.

Subtract 32 from both sides of the equation.

\begin{aligned}32-32-6x&=53-32\\-6x&=21\end{aligned}

Divide both sides of the equation by -6.

\begin{aligned}\frac{-6x}{-6}&=\frac{21}{-6}\\x&=\boxed{-\frac{7}{2}}\end{aligned}

7 0
2 years ago
Read 2 more answers
Perimeter of a triangle with side length of 13.9in,10.4,8.5in
AlladinOne [14]

Perimeter =a+b+c

13.9 + 10.4 + 8.5 =

32.8 in (perimeter)


6 0
3 years ago
Read 2 more answers
A nurse has an income of $120,000. The income tax the nurse has to pay is 6%. What is the amount of income tax, in dollars and c
sleet_krkn [62]

Answer:

7,200 I believe

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself. A. Find the so
Dvinal [7]

Answer:

3x + 6 =27

Step-by-step explanation:

A. The solution is 7! First I Subtracted 6 from both sides of the equation, Then I Divided both sides of the equation by the same term. Then I got "7" from doing the following.

B. The solution is the x in the answer which is the amount of juice he poured.

"Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself"

tell me if i did something wrong  

5 0
3 years ago
Read 2 more answers
Other questions:
  • Examine the method you used to estimate in the previous question. How does the estimate compare to the actual amount? Explain.
    13·4 answers
  • 0.28444 as a fraction
    10·2 answers
  • Given f(x) = 3x + 1, solve for x when f(x) = 7.
    5·1 answer
  • Why is the end behavior of a quadratic function different from a linear function?
    14·1 answer
  • Myra wants to save at least $500 by the end of her summer vacation. She currently has $350 saved. She can earn $25 cutting a law
    15·2 answers
  • Point B has 3 lines extending from it. One line extends to point A, another to C, and another to D. Angle A B D is a right angle
    9·1 answer
  • Equation that equal -5
    6·2 answers
  • 96 is 32 percent of what number
    8·1 answer
  • Jordyn saved $75 in two months. If Jordyn continues saving at this rate, how much will she have saved in 12 months?$_________ *
    15·1 answer
  • 19 points
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!