# What is the derivative of #sec(x-x^2)#?

##### 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) # then# f'(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