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
worty [1.4K]
3 years ago
8

What is the derivative of the function below?

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0

g(x)=4x-\dfrac{1}{4x}=4x-(4x)^{-1}\\\\\\\\g'(x)=\left[4x-(4x)^{-1}\right]'=(4x)'-\left[(4x)^{-1}\right]'=4-[-1(4x)^{-2}]\cdot4\\\\=4+\dfrac{1}{(4x)^2}\cdot4=4+\dfrac{4}{4^2x^2}=\boxed{4+\dfrac{1}{4x^2}}\\\\Used:\\\\(f(x)-g(x))'=f'(x)-g'(x)\\\\.[f(g(x))]'=f'(g(x))\cdot g'(x)\\\\(x^n)'=nx^{n-1}

You might be interested in
50 cents plus how many nickels equal 1.85
weeeeeb [17]
50 cents plus 27 nickels equals 1.85
4 0
3 years ago
Read 2 more answers
Mr thomas puts up fence posts from one end to another equal distances apart.there are 27 posts the width of each part is 10 cent
Fittoniya [83]
If there are 27 posts, then there are (n - 1) total spaces between the posts . . . 27 - 1 = 26 total spaces (since there has to be a post at each end of the line)

Here's an example of 7 posts equally spaced . . . so you can see there are one less spaces between posts than there are posts (i.e. 6 total spaces between 7 posts) . . .

[] . . . [] . . . [] . . . [] . . . [] . . . [] . . . []

27 posts = 27*(10cm) = 270 cm = 2.7m
26 spaces = 26*(30m) = 780 m

<u><em>Length of Fence = L = 780m + 2.7m = 782.7m</em></u>
6 0
4 years ago
I need this asap. Would appreciate for y’all help
steposvetlana [31]

Answer:

-3/2, -1

Step-by-step explanation:

Each coordinate contains one x value and one y value, (x,y).

If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.

Let's take the x values first. Our first  x value is -4 and our second x value is 1. Imagine the integers between -4 and 1 laid out in a sequence:

-4, -3, -2, -1, 0, 1

If you take the middle value of this sequence, you get the midpoint of the x values.

In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is -\frac{3}{2}.

Now let's look at the y values. Our first y value is 2 and our second y value is -4. Again, let's imagine those numbers laid out in a sequence:

2, 1, 0, -1, -2, -3, -4

Here, the middle of these values is -1, and this is the midpoint of the y values.

So if we put these two values in a coordinate, we get the midpoint of the line.

In this case, we get (-\frac{3}{2} ,-1).

5 0
2 years ago
For home economics class Sandra has 5 cups of flour she made three batches of cookies that each used 1.5 cups of flour write and
Ray Of Light [21]
5- 1.5x = y 
5-1.5(3) = y
5- 4.5 = y
.5 cups = y
7 0
3 years ago
Giving brainliest<br> please help asap
patriot [66]

Answer:

A ≈ 240.26

Step-by-step explanation:

Googs

3 0
3 years ago
Other questions:
  • ​Felipe Rivera's savings account has a balance of $3159. After 4 years what will the amount of interest be at 1.6% compounded qu
    15·1 answer
  • What is equivalent to 4/5
    5·2 answers
  • Which property justifies the following equation 7(0+5)=7*0+7*5? A. distributive B. commutative C. associative D. identity
    15·1 answer
  • Which expression is NOT equivalent to<br> 64?<br> 2^-6<br> 8^-2<br> 64^-1<br> 4^-4
    6·1 answer
  • Select all the correct locations on the number line.
    15·1 answer
  • I need help asap!!!!!!
    13·1 answer
  • Someone please help with this question!
    7·1 answer
  • Can someone help me with my homework
    9·2 answers
  • Help me, please, please
    9·1 answer
  • 14.Evaluate the expression 4x2+3y for x = 5 and y =6.<br><br>answer?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!