What is the derivative of e^(sec x)?
1 Answer
Explanation:
If you are studying maths, then you should learn the Chain Rule for Differentiation, and practice how to use it:
If
y=f(x) thenf'(x)=dy/dx=dy/(du)(du)/dx
I was taught to remember that the differential can be treated like a fraction and that the "
dy/dx = dy/(dv)(dv)/(du)(du)/dx etc, or(dy/dx = dy/color(red)cancel(dv)color(red)cancel(dv)/color(blue)cancel(du)color(blue)cancel(du)/dx)
So with
Using
\ \ \ \ \ dy/dx = (e^u)(secxtanx)
:. dy/dx = e^secxsecxtanx