Help please!!!!!!!!!!

Mathematics

1 answer:

guapka [62]2 years ago

6 0

Yes it is balanced because all aspects are there

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1. Find the derivative with respect to x of x +1/x from first principle.

Murrr4er [49]

If you mean $f(x)=x+\frac1x$ , then the derivative is

$\displaystyle f'(x) = \lim_{h\to0} \frac{\left(x+h+\frac1{x+h}\right) - \left(x+\frac1x\right)}h \\\\ = \lim_{h\to0} \frac{(x+h)-x}h + \lim_{h\to0} \frac{\frac1{x+h} - \frac1x}h \\\\ = \lim_{h\to0} \frac hh + \lim_{h\to0} \frac{x-(x+h)}{hx(x+h)} \\\\ = \lim_{h\to0} 1 - \lim_{h\to0} \frac h{hx(x+h)} \\\\ = 1 - \lim_{h\to0} \frac1{x(x+h)} \\\\ = \boxed{1 - \frac1{x^2}}$

If you mean $f(x) = \frac{x+1}x = 1 + \frac1x$ , we know from above that

$\displaystyle \left(\frac1x\right)' = \lim_{h\to0} \frac{\frac1{x+h}-\frac1x}h = -\frac1{x^2}$

which leaves the constant term, whose derivative is

$\displaystyle (1)' = \lim_{h\to0}\frac{1 - 1}h = 0$

and so

$f'(x) = -\dfrac1{x^2}$

6 0

1 year ago

13,000 divided by 1,000

ivann1987 [24]

Answer:

Hey! The answer would be 13 with no remainder. Hope this helped :)

3 0

2 years ago

NEED NOW PLEASE..........

Harlamova29_29 [7]

Answer:

The answer is 6 feet below the surface of the water.

Step-by-step explanation:

So the fish started out as 12m below the surface then went 3m down. If you add 12m and 3m you'll 15m, then minus with a 9m to came up with 6m. But the fish is still below surface, which gives you the answer of " 6 feet below the surface"

Hopes this helped you :)

8 0

2 years ago

Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.

Sauron [17]

Option B: $y=4$ is the value of y