# What are the steps taken to find the f'(x) for...

• Mar 13th 2010, 03:03 PM
Zanderist
What are the steps taken to find the f'(x) for...
$f(x)=-6*e^x*sin(x)$

The problem is: -6*e^(x*sin(x))
What are the steps for this?

is 'u'

u^(x*sin(x))
• Mar 13th 2010, 03:25 PM
ione
Quote:

Originally Posted by Zanderist
$f(x)=-6*e^x*sin(x)$

The problem is: -6*e^(x*sin(x))
What are the steps for this?

is 'u'

u^(x*sin(x))

Oops, sorry, I did not read the problem correctly
• Mar 13th 2010, 03:25 PM
skeeter
Quote:

Originally Posted by Zanderist
$f(x)=-6*e^{x*sin(x)}$

The problem is: -6*e^(x*sin(x))
What are the steps for this?

is 'u'

u^(x*sin(x))

$y = -6e^u$ , where $u = x\sin{x}$

$\frac{dy}{dx} = -6e^u \cdot \frac{du}{dx}$