What is the derivative of sec(x-x^2)sec(x−x2)?
2 Answers
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) 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
(NB you should know that
Using
dy/dx = secutanu(1-2x)
dy/dx = (1-2x) sec(x-x^2)tan(x-x^2)
Explanation:
you start of with:
The derivative of sec(x) is sex(x)tan(x) because:
USELESS UNLESS YOU WANT TO KNOW HOW TO GET THE DERIVATIVE SEC(X) IF YOU FORGOT THE FORMULA:
sec(x)=
since we have
the derivative of cos(x) is -sin(x), and the derivative of 1 is 0:
Continuing on with the previous discussion
sec(x) is sex(x)tan(x), so:
The derivative of