Derivative of 4/sqrt{x}: Step-by-Step Guide

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SUMMARY

The derivative of the function 4/sqrt{x} can be expressed as 4x^{-\frac{1}{2}}. This transformation utilizes the power rule of differentiation, allowing for straightforward computation of the derivative. The final result is achieved by applying the derivative rules effectively, confirming that the derivative simplifies to -2x^{-\frac{3}{2}} when further differentiated.

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Steps for finding the derivative of 4/sqrt{x}
 
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schooler said:
Steps for finding the derivative of 4/sqrt{x}

Write it as $\displaystyle \begin{align*} 4x^{-\frac{1}{2}} \end{align*}$ and you should be able to continue :)
 

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