1 - Derivative of arcsin x.
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The derivative of f(x) = arcsin x is given by
</span><span> f '(x) = 1 / sqrt(1 - x 2) </span><span>
</span>2 - Derivative of arccos x.
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The derivative of f(x) = arccos x is given by
</span><span> f '(x) = - 1 / sqrt(1 - x 2) </span><span>
</span>3 - Derivative of arctan x.
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The derivative of f(x) = arctan x is given by
</span><span> f '(x) = 1 / (1 + x 2) </span><span>
</span>4 - Derivative of arccot x.
<span>
The derivative of f(x) = arccot x is given by
</span><span> f '(x) = - 1 / (1 + x 2) </span><span>
</span>5 - Derivative of arcsec x.
<span>
The derivative of f(x) = arcsec x tan x is given by
</span><span> f '(x) = 1 / (x sqrt(x 2 - 1))</span><span>
</span>6 - Derivative of arccsc x.
<span>
The derivative of f(x) = arccsc x is given by
</span><span> f '(x) = - 1 / (x sqrt(x 2 - 1)) </span><span>
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Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle BDC
Find the value of j
Applying the Pythagorean Theorem


step 2
In the right triangle ABD
Applying the Pythagorean Theorem
----> equation A
step 3
In the right triangle ABC
Applying the Pythagorean Theorem
----> equation B
step 4
Substitute equation A in equation B

solve for g

Answer:

Step-by-step explanation:
The formula of a surface area of a rectagular prism:

l - length
w - width
h - height
We have the dimensions 6cm × 14cm × 5cm. Substitute:

Answer:
slope is 2 and y-intercept is (0, 4)
Step-by-step explanation:
Answer:
The drama club bought 35 t-shirt
Step-by-step explanation:
Let
t-shirt = x
Sweatshirt = y
Total cost = $795
They purchase 20 more tshirts than sweatshirts
x = y + 20
The equation is:
12x + 25y = 795
12(y + 20) + 25y = 795
12y + 240 + 25y = 795
37y = 795 - 240
37y = 555
y = 15
Substitute y = 15 into
x = y + 20
x = 15 + 20
x = 35
t-shirt = 35
Sweatshirt = 15
The drama club bought 35 t-shirt