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

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To find the derivative of the function 4/sqrt{x}, first rewrite it as 4x^(-1/2). Applying the power rule, the derivative is calculated by multiplying the exponent by the coefficient and decreasing the exponent by one. This results in the derivative being -2x^(-3/2). Therefore, the final expression for the derivative is -2/(2sqrt{x^3}). Understanding these steps is crucial for mastering derivatives involving fractional exponents.
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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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