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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

1 answer:

KATRIN_1 [288]4 years ago

8 0

GCD of 24 & 36 is 12

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What is the derivative of1/root x

Marina86 [1]

<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 />

=> $\frac{1}{x^{\frac{1}{2} } }$

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