1. ## Composite Rule problem

Hello

I need help differentiating the following function using the Composite Rule,

f(x) = e^(x(4-x)/6)

Thanks

2. Originally Posted by flyingscotsman
Hello

I need help differentiating the following function using the Composite Rule,

f(x) = ex(4-x)/6

Thanks
If this is

$f(x)=e^{\frac{x(4-x)}{6}}$

then $f'(x)=e^{\frac{x(4-x)}{6}}\cdot\bigg(\frac{x(4-x)}{6}\bigg)'=e^{\frac{x(4-x)}{6}}\bigg(\frac{4-2x}{6}\bigg)$

3. Originally Posted by flyingscotsman
Hello

I need help differentiating the following function using the Composite Rule,

f(x) = e^x(4-x)/6

Thanks
$f(x) = \frac{e^x (4-x)}{6}$

$
f'(x) = \frac{1}{6} \left( e^x (4-x) - e^x \right)
$

4. Many thanks Mathstud28 for all your help.