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3 years ago

12

If it took 30 minutes to give out 75 diplomas

1 answer:

Sonbull [250]3 years ago

8 0

Hi king/quee/royalty. I have the answer: x=36

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

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

2 years ago

I was in special ed I I don't understand this

Debora [2.8K]

= 8 / (2) + 7
= 4 + 7
= 11

7 0

3 years ago

What is the lowest common multiple (LCM) of 8, 2 and 5?

aivan3 [116]

Answer:

40

Step-by-step explanation:

Using the method of prime factors

8 = 2 × 2 × 2 = 2³

2 = 2

5 = 5

Then LCM = 2³ × 5 = 8 × 5 = 40

8 0

3 years ago

Read 2 more answers

How do you write <br>the quotient of 3 and the total of 4 and a number

marta [7]

3 divided by (4 + n). Hope it helps! :)

3 0

3 years ago

I need help lol. please give me an explaination as well ty <3

Feliz [49]

You need to write it out such as number 8 would be 10x10x10x10 so for every number on top you multiply the number by itself

3 0

3 years ago