# differentiating 3 functions

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• April 15th 2009, 02:58 PM
mathsShOck
differentiating 3 functions
Hi, is it possible to differentiate;

-(1/3)ln|secx|.exp(x).sinx??

do we go about doing this the same way as normal differentiation for example;
first differentiate ln|secx| only and so on......?

(Headbang)
• April 15th 2009, 03:02 PM
icemanfan
Use the product rule.

The product is
$-\frac{1}{3}\ln |\sec x| \cdot e^x \sin x$.

Then, to differentiate [Math]e^x \sin x[/tex] use the product rule again.
• April 15th 2009, 03:03 PM
Jhevon
Quote:

Originally Posted by mathsShOck
Hi, is it possible to differentiate;

-(1/3)ln|secx|.exp(x).sinx??

do we go about doing this the same way as normal differentiation for example;
first differentiate ln|secx| only and so on......?

(Headbang)

yes, it can be differentiated. use the product rule for three functions.

$\frac d{dx}[fgh] = f'gh + fg'h + fgh'$

where $f,g, \text{ and }h$ are functions of $x$
• April 15th 2009, 03:12 PM
mathsShOck
Thank you people I got it now. :)