Solution assignment 11 Product and Quotient rule

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Assignment 11

Differentiate:

y=e^{2x}

Solution

The list of standard function contains the function:

y=e^x

but not the original function above. We may write:

y=e^{2x}=e^x.e^x

and thus we can apply the product rule:

y'=e^x.e^x+e^x.e^x=2e^{2x}

However, it is a lot easier to apply the Chain rule.

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