Question

How do you use the chain rule to differentiate `root11(e^(6x))`?

Answer 1

`(6root11 e^(6x))/11`

Explanation:

`f(x) = root11 e^(6x) = e^(6x/11)`

Applying the chain rule and standard differential

`f'(x) = e^(6x/11) * d/dx (6x)/11`

`=6/11 * e^(6x/11)`

`=(6root11 e^(6x))/11`