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Tpy6a [65]
4 years ago
13

You are making identical gift bags using 24 candles and 36 bottles of lotion what is the greatest number of gift bags you can ma

ke with no items leftover
English
1 answer:
KATRIN_1 [288]4 years ago
8 0
GCD of 24 & 36 is 12
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<h2><u><em>Answer:</em></u></h2>

-\frac{1}{2} x^{-\frac{3}{2}}<em />

<em />

<em />

<h2><u><em>Explanation:</em></u></h2>

<em>Task</em>: To find the derivative of 1/rootx

<em>Rewrite</em>: To find the derivative of the function 1 / \sqrt{x}

To find the derivative, follow these steps:

<em>(i) Rewrite the function as</em>

=> \frac{1}{\sqrt{x} }

<em>Remember that </em>\sqrt{x}<em> can be written as </em>x^{\frac{1}{2} }<em />

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=> x^{-\frac{1}{2} }<em />

<em />

<em>(ii) Multiply the coefficient of </em>x^{-\frac{1}{2} }<em> by the power of </em>x^{-\frac{1}{2} }<em />

Coefficient of x^{-\frac{1}{2} }<em> </em>= 1

Power of x^{-\frac{1}{2} }<em> </em>= -\frac{1}{2}

=> (-\frac{1}{2} x 1)x^{-\frac{1}{2} }<em />

=>  (-\frac{1}{2} )x^{-\frac{1}{2} }<em />

=>  -\frac{1}{2} x^{-\frac{1}{2} }<em />

<em />

<em>(iii) Subtract 1 from the power of  </em>x^{-\frac{1}{2} }<em />

=>  -\frac{1}{2} x^{(-\frac{1}{2} - 1 )}<em />

=>  -\frac{1}{2} x^{-\frac{3}{2}}<em />

Therefore, the derivative of 1/root x is -\frac{1}{2} x^{-\frac{3}{2}}<em />

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