Find the derivative of the function?

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1 Answer
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Feb 17, 2018

#f'(x) = -(8x + 9sqrt(x))/(2x^6)#

Explanation:

#f(x) = (x + sqrt(x))/x^5#

#= x^(-4) + x^(-9/2)#

Using the power rule,

#d/dx(x^n) = n x^(n-1)#

#f'(x) = (-4)x^(-5) + (-9/2) x^(-11/2)#

#= -(4x)/x^6 -9/2 sqrt(x)/x^6#

#= -(8x + 9sqrt(x))/(2x^6)#

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