Question #e1fc4

1 Answer
Jul 24, 2015

#dy/dx=(2ln2)4^sec(x)sec(x)tan(x)#

Explanation:

Lets say we want to find the derivative of #2^x#.
It is #(ln2)2^x#

In the problem we do the same thing and remember
to use the chain rule.

#dy/dx=(ln4)4^sec(x)d/dx[sec(x)]#

#dy/dx=(ln2^2)4^sec(x)sec(x)tan(x)#

#dy/dx=(2ln2)4^sec(x)sec(x)tan(x)#