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makkiz [27]
2 years ago
5

Hoping someone can help me. Will give Brainliest for the RIGHT answer!

Mathematics
1 answer:
V125BC [204]2 years ago
8 0

Answer:

  It does not converge.

Step-by-step explanation:

The ratio between terms is 3/2, which is greater than 1, so the sum cannot converge. Each term added to the sum is larger than the one before it.

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3 years ago
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
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