Differentiate by using the chain rule.

**Solution**

Chain rule:

We must determine the individual components of the chain rule to apply it. Set and .

Therefore,

,

,

.

Hence,

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# Problem 2-11: Differentiating by Chain Rule

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###

Differentiate by using the chain rule.

**Solution**

Chain rule:

We must determine the individual components of the chain rule to apply it. Set and .

Therefore,

,

,

.

Hence,

Ans: 4(1+x^1/2)^7*x^-1/2