# What is the derivative of #(x^2 + 1/x)^5#?

# d/dx (x^2+1/x)^5= 5(2x-1/x^2) (x^2+1/x)^4 #

If you are studying maths, then you should learn the Chain Rule for Differentiation, and practice how to use it:

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Hello,

So, this isn't as complicated as it looks. Let's not get daunted by the fraction so much, but focus generally on the main concept. First, we must recognize that this is an application of the Chain Rule for derivatives. Consider the chain rule as the derivative of a composite function. The formula for the chain rule can be stated as follows:

Distributing 5 to g'(x), we obtain

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The derivative of ( (x^2 + \frac{1}{x})^5 ) is ( 5(x^2 + \frac{1}{x})^4(2x - \frac{1}{x^2}) ).

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