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Dafna11 [192]
1 year ago
7

F(x) = 1/(5x-6)Find the derivative of this function

Mathematics
1 answer:
siniylev [52]1 year ago
5 0

Given

f(x)=\frac{1}{5x-6}

To find the derivative of the give function,we apply below exponent rule first:

\frac{1}{a}=a^{-1}

So,

Next, we apply the chain rule:

So,

We substitute back u=(5x-6):

Simplify:

Therefore, the answer is:

=-\frac{5}{(5x-6)^2}

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Taylor and Anya are friends who live 63 miles apart. Sometimes on a Saturday, they ride toward each other's houses on their bike
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Anya rode at 8.5 miles per hour.

Step-by-step explanation:

We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.

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Let us find distance covered by Taylor.

\text{Distance}=\text{Speed*Time}

\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}

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\text{Distance covered by Taylor}=37.5\text{ Miles}

Therefore, Taylor covered 37.5 miles in 3 hours.

Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.

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\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}

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\text{Speed}=\frac{\text{Distance}}{\text{Time}}

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Therefore, Anya rode the bike at the speed of 8.5 miles per hour.

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Which number is farthest from 2 on the number line?
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Option D. The number that is farthest from 2 on the number line is 2.9

Step-by-step explanation:

Please kindly check the attached file for explanation

3 0
3 years ago
Read 2 more answers
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