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What is the derivative of #f(x) = x^(5/2) #?

1 Answer

Jun 22, 2016

#f'(x)=5/2x^(3/2)#

Explanation:

We will use the power rule, which states that for any function #f(x)=x^n#, where #n# is a constant, the function's derivative is #f'(x)=nx^(n-1)#.

Thus, the derivative here using #n=5/2# is:

#f'(x)=5/2x^(5/2-1)=5/2x^(3/2)#

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