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Mathematics

1 answer:

lubasha [3.4K]3 years ago

4 0

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Use the definition of a derivative to find f’(x).

tatyana61 [14]

Answer:

f'(x) = $-\frac{9}{x^2}$

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x) = $$\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $ \hspace{0.2cm}$

$= $\lim_{h\to 0} \frac{\frac{9}{x+h} - \frac{9}{x} }{h} = \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} = \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)} = $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$$

7 0

3 years ago

Simplify the expression completely.<br><br> 16x-12x

romanna [79]

These are like terms, meaning that they are completely the same disregarding the coefficient.

To combine like terms, add the coefficients.
16+(-12)=4

Final answer: 4x

6 0

3 years ago

Is it true that m || n?

AfilCa [17]

Answer:

False

Step-by-step explanation:

Lines m and n are not parallel

See attached that shows vertical segment of 6 units, its longer than the distance between the lines on the right and its shorter on the left

Parallel lines should have same distance at any point between them

6 0

2 years ago

It takes you 4040 seconds to walk from the first (ground) floor of a building to the fourthfourth floor. how long will it take

alina1380 [7]

How long will it take to walk from the first floor to the eightheighth floor (at the same pace, assuming that all floors have the same height).
8080 seconds

3 0

3 years ago

What's the area and the perimeter of rectangle ABDC shown in the coordinate plane? answers : A) Area = 24 square units; perimete

galben [10]

The answer is d because that’s the answer

8 0

3 years ago