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oksano4ka [1.4K]
2 years ago
13

How do you use the limit definition of the derivative to find the derivative of f(x)=1/x?

Mathematics
1 answer:
guapka [62]2 years ago
6 0
Example 1. Let us start with the functionf(x) = x2. We have 




So 




which means f '(a) = 2a.

What about the derivative of f(x) = xn. Similar calculations, using the binomial expansion for (x+y)n (Pascal's Triangle), yield 




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vovikov84 [41]

Answer:

6:07 seconds

Step-by-step explanation:

to determine the answer subtract the time of Guerruoj's world record from that of Noah

 3 : 32 : 07

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 0 : 06 : 07

8 0
3 years ago
Find xif 4; 4+2×;4+4× are in Geometric sequences​
Ray Of Light [21]

Given:

4,4+2x,4+4x are in geometric sequences​.

To find:

The value of x.

Solution:

If a, b, c are in geometric sequences​, then

\dfrac{b}{a}=\dfrac{c}{b}

b^2=ac           ...(i)

It is given that 4,4+2x,4+4x are in geometric sequences​. By using (i), we get

(4+2x)^2=(4)(4+4x)

4^2+2(4)(2x)+(2x)^2=(4)(4)+4(4x)

16+16x+4x^2=16+16x

4x^2=16+16x-16-16x

On further simplification, we get

4x^2=0

x^2=0

x=0

Therefore, the value of x is 0.

7 0
2 years ago
Convert 73.5% to a fraction in lowest terms.
Lostsunrise [7]

Answer:

147/200

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
write the standard equation for the circle with the center at (4,1) and passing through the point (0,1)
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Without needing the distance formula

from 4,1 to 0,1, you move the "x" from 4 to 0, over the same "y" value of 1, so is just 4 units long, from the center to an endpoint, and the chord that stems from the center to an endpoint is the radius, so r = 4

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1) Determine the property and how do you know.
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