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Differentiation of a product.

Hedgecutter · 2015-10-03 12:32:27

Trouble with this one. I know my mistake is how I selected u and v but not sure what to select.

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03-10-2015 1:32pm

#1

Hedgecutter

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Posts: 747

Trouble with this one. I know my mistake is how I selected u and v but not sure what to select.

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#2 03-10-2015 3:39pm
TheBody

Registered Users Posts: 5,619 ✭✭✭

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This is a product rule inside another product rule problem. I can see that because there is a "t" in each bit. i.e in the [latex]e^t[/latex], the [latex]\ln(t)[/latex], and in the [latex]\cos(t)[/latex] bit.

You can choose u and v as you have but to differentiate [latex]u=e^t\ln(t)[/latex], you need to use the product rule again!

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