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anygoal [31]
2 years ago
15

Let f(x)=cos(x)x^-2 F’(x)=

Mathematics
1 answer:
kondaur [170]2 years ago
8 0

f(x)=cos(x)x^{-2}\implies f(x)=\cfrac{cos(x)}{x^2}\implies \cfrac{df}{dx}=\stackrel{\textit{quotient rule}}{\cfrac{-sin(x)\cdot x^2-cos(x)\cdot 2x}{(x^2)^2}} \\\\\\ \cfrac{df}{dx}=\cfrac{-x[x\cdot sin(x)+2cos(x)]}{x^4}\implies \cfrac{df}{dx}=\cfrac{-[xsin(x)+2cos(x)]}{x^3}

You might be interested in
It takes Olivia 12.5 minutes to swim 20 laps around the pool what's Olivia's unit rate
Tom [10]

Her swimming rate can either be written as 1.6 laps per (one) minute or as 0.625 minutes per lap = 37.5 seconds per (one) lap.
In terms of number of laps per minute, the answer is
20
laps
12.5
minutes
=
1.6
laps per minute.

In terms of the number of minutes per lap, the answer is
12.5
minutes
20
laps
=
5
8
=
0.625
minutes per lap. This is the same as
0.625
min
lap
⋅
60
sec
min
=
37.5
sec
lap

The faster she goes, the more laps she can do in a minute and the fewer minutes (or seconds) it takes her to do one lap.
6 0
3 years ago
Divide Rs 2500 in the proportion of 1:2:3:4 in four parts. <br>​
True [87]

Answer:

250 : 500 : 750 : 1000

Step-by-step explanation:

2500 ÷ 1+2+3+4

2500 ÷ 10

250

Therefore the answer is,

1 : 2 : 3 : 4

250 : 500 : 750 : 1000

7 0
2 years ago
Solve the equation and justify each step.<br> 8.2 - 9 = 7x + 6 - 2x
Snezhnost [94]

Answer:

x = 5

Step-by-step explanation:

8x-9=7x+6-2x

We move all terms to the left:

8x-9-(7x+6-2x)=0

We add all the numbers together, and all the variables

8x-(5x+6)-9=0

We get rid of parentheses

8x-5x-6-9=0

We add all the numbers together, and all the variables

3x-15=0

We move all terms containing x to the left, all other terms to the right

3x=15

x=15/3

x = 5

8 0
3 years ago
Determine the equation of the circle graphed below
faltersainse [42]

Equation of the circle is (x - 6)² +(y-7)² = 4.

<h3>What is a Circle ?</h3>

A figure having round shape and all the points lie on the same plane is called a circle.

Equation of a circle can be formed using centre of the circle and radius of the circle.

(x-h)² +(y-k)² = r²

where (h,k) is the vertex and 'r' is the radius.

From the given graph the centre of the circle is at (6,7)

 and radius of the circle is 2 units

(h,k) is (6,7)  

and r= 2

Substituting all the values

The equation of the circle

(x - 6)² +(y-7)² = 2² = 4

Equation of the circle is (x - 6)² +(y-7)² = 4

To know more about Circle

brainly.com/question/11833983

#SPJ1

7 0
2 years ago
Which description best describes the graph?
nika2105 [10]
The line has a constant rate, so this is a linear equation
We move from left to right on the x axis so this line is decreasing
It’s the second option, Linear Decreasing
8 0
3 years ago
Read 2 more answers
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