1 - Derivative of arcsin x.
<span>
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.
<span>
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.
<span>
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>
</span>
As it is, in accordance with the priorities of the operators (or the PEMDAS rule) the equation without parentheses mean
<span>(2/3)x+1=(1/6)x-7
I do not suppose you mean the above, since the solution is relatively trivial.
I suppose you actually mean
</span><span>2/(3x+1)=1/(6x-7)
in which case you would cross-multiply:
2(6x-7)=(3x-1)
and expand/distribute
12x-14=3x-1
isolate x and solve
12x-3x=-1+14
9x=13
x=13/9
If you mean the first form of equation without parentheses, my apologies.</span>
Answer:
$8.85
Step-by-step explanation:
This a question of direct variation, so we can make out a relationship between the two factors. 12 is 2/3 of 18, so the cost of 12 would also be 2/3 of the cost of 18. We can now make an equation to solve.

Answer:
8
Step-by-step explanation:
and the surface area
for the whole shape is 107 yd^2
Answer:
-10 is the second term.
Step-by-step explanation:
After the first term each term is obtained from the previous one by adding 10.
c(1) = -20
so c(2) = -20 + 10
= -10.