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3 years ago

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

1 answer:

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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saveliy_v [14]

Answer:

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Step-by-step explanation:

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3 years ago

If you drive 70 miles per hour, how long will it take you drive 70 miles?

inysia [295]

Answer:

1 hour

Step-by-step explanation:

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3 years ago

Read 2 more answers

78% of 68 is what number?

raketka [301]

Answer:

53.04

Step-by-step explanation:

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3 years ago

Which numbers represent the lower quartile, the median, and the upper quartile of the following set of numbers?

kotegsom [21]

Answer:

Lower quartile: 85; median: 97; upper quartile 115.5

Step-by-step explanation:

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3 years ago

What is the solution to the system of equations?

MariettaO [177]

Answer:

x=-4 y=-1

Step-by-step explanation:

Let's solve your system by substitution.

−3x−8y=20;y=5x+19

Rewrite equations:

y=5x+19;−3x−8y=20

Step: Solve y=5x+19for y:

y=5x+19

Step: Substitute5x+19foryin−3x−8y=20:

−3x−8y=20

−3x−8(5x+19)=20

−43x−152=20(Simplify both sides of the equation)

−43x−152+152=20+152(Add 152 to both sides)

−43x=172

−43x

−43

172

−43

(Divide both sides by -43)

x=−4

Step: Substitute−4forxiny=5x+19:

y=5x+19

y=(5)(−4)+19

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

7 0

3 years ago