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julsineya [31]
2 years ago
9

Find the derivative of the problem below and show your work

Mathematics
1 answer:
Sergio [31]2 years ago
6 0

The derivative of the function is =   -\frac{3x^5\left(x^3-2\right)}{\left(1+x^3\right)^4}.

<h3>What is Derivative?</h3>

The derivative is the instantaneous rate of change of a function with respect to one of its variables.

Given function:

y= (x^{-2} + x )^{-3}

Differentiating and applying Chain Rule

=-\frac{3}{\left(x^{-2}+x\right)^4}\frac{d}{dx}\left(x^{-2}+x\right)

= -\frac{3}{\left(x^{-2}+x\right)^4}\left(-\frac{2}{x^3}+1\right)

= -\frac{3x^5\left(x^3-2\right)}{\left(1+x^3\right)^4}

Hence, the value of derivative is   -\frac{3x^5\left(x^3-2\right)}{\left(1+x^3\right)^4}.

Learn more about derivative here:

brainly.com/question/124529

#SPJ1

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AlladinOne [14]

Answer:

B

Step-by-step explanation:

Hi there!

We are given the points (-1,2) and (3,3) and we need to find the slope.

The formula for slope calculated from two points is \frac{y_{2}-y_{1} }{x_{2}-x_{1}}, where (x_{1},y_{1}) and (x_{2},y_{2}) are points

since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion

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now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.

m=\frac{3-2}{3--1}

simplify

m=\frac{3-2}{3+1}

m=\frac{1}{4}

so <u>B </u>is your answer

Hope this helps! :)

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Answer:

Answer

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Step-by-step explanation:

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Step-by-step explanation:

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