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NISA [10]
3 years ago
5

Can derivatives be used to measure the the slope of the tangent line at x=a

Mathematics
1 answer:
Pie3 years ago
6 0
Yes. In fact, that is basically the definition of a derivative. It is the instantaneous rate of change of a function. 

For example, picture the graph of the following function:

f(x) = x^2

The slope is constantly changing at every x-value, so to find  the slope at x=a, we find the  derivative of the  function.

f'(x)=2x

Once we have the derivative, simply plug in a for x to find the slope of the line tangent to f(x) at x=a.

For example, at x=5:

f'(5)=2(5)

The slope of f(x) at x=5 is 10.
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Step-by-step explanation:

You can't expect to get exactly 2500 out of 5000 tosses more than a few times . You will come pretty close, but that's only good in horseshoes.

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Simulations and not completely unbiased, but based on experience, 5000 is a very small number and getting 2500 more than a couple of times is unlikely

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I need to answer and explain
nignag [31]

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parallel

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Solve both equations for y to make it easier to compare them.

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Since the slopes are the same, the two lines are parallel.

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$20

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