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ratelena [41]
3 years ago
8

Find the derivative of the fucntion. Simplify where possible.y = tan^-1(x²)​

Mathematics
1 answer:
givi [52]3 years ago
6 0

\bf \cfrac{d}{dx}[tan^{-1}(x^2)]\implies \stackrel{\textit{chain rule}}{\cfrac{1}{1+(x^2)^2}\cdot 2x}\implies \cfrac{2x}{1+x^4}

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Heating and cooling costs might vary considerably.

7 0
2 years ago
22 out of the 55 teachers in a
wlad13 [49]

Answer:

40%

Step-by-step explanation:

Our fraction would be 22/55. You can divide and then multiply by 100 to get your percentage.

8 0
1 year ago
A map scale is 1 cm :50Km.Two cities are 3.8cm apart .How many kilometers is it from on e city to the other
Gennadij [26K]
So what you do is you want to multiply
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6 0
3 years ago
Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value o
strojnjashka [21]

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

f (n): 260   360   460   560  

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

a_{n}=\frac{n}{2}[2a+(n-1)d]

Compute the value of f (11) as follows:

f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]

        =5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

5 0
2 years ago
If sec= 5/3 and the terminal point determined by is in quadrant 4, then
OLga [1]
\bf sec(\theta)=\cfrac{1}{cos(\theta)}\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{5}{3}\implies \cfrac{1}{cos(\theta)}=\cfrac{5}{3}\implies \cfrac{3}{5}=cos(\theta)
\\\\\\
\textit{now, }\theta\textit{ is in the 4th quadrant}

so... notice the picture below, the angle in the fourth quadrant
now... notice, the cosine is just the distance the angle makes with the x-axis
so... using the pythagorean theorem, get the opposite side, from that triangle, keeping in mind that, "y" is negative in the 4th quadrant

once you get "y", get any other trigonometry value you need :)

7 0
3 years ago
Read 2 more answers
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