Question

How do you differentiate `f(x)=x sec kx^2` using the chain rule?

Answer 1

`d/dxxseckx^2=2x^2seckx^2(tankx^2+1)`

Explanation:

Assuming `k in RR` and is independent of x, we may use the product rule to write

`d/dxxseckx^2=x*seckx^2tankx^2*2x+seckx^2`