Question

find dy/dx if y = sece^x

Answer 1

y = sec ( e^x)
Let u = e^x

So,
dy/dx = dy/du * du/dx
Therefore,

dy/dx = d sec u / du * d e^x / d x
= (sec u * tan u) * e^x

Now, u = e^x

So,
( sec u tan u) * e^x
= sec e^x * tan e^x * e^x

Therefore
dy / dx = sec e^x * tan e^x * e^x

Hope this helps you !!