Trigonometric Derivatives

Question

Find  of 

Options:

1. 2xsec(x²)tan(x²)
2. 
3. 
4. 

Answer 1

The derivative of sec x is sec x tan x. Since there is an expression other than x inside the secant function, we need to use the chain rule. We basically do everything we normally would, but with an x² instead of an x. But then we need to multiply by the derivative of x², which is 2x.

So = 2x sec (x²) tan (x²).