# Derivative of arcsec(sqrt(x))

Hmmm, I dont seem to get it..

y' of arcsecx is : (1/x * sqrt(x^2 - 1))

im looking for arcsec(sqrt(x))

So I get (1/(sqrt(x)sqrt(x-1)) * 1/2sqrt(x))

Thats not the answer in the book :(

Physics Monkey
Homework Helper

The answer given is : 1 / (2x * sqrt(x-1))

Physics Monkey
Homework Helper

Edit: At least I think it is, unless I'm misinterpreting your answer.

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Hmmm, I dont see it.. and i substitued X by a number, and it gives me 2 different answers

Physics Monkey
Homework Helper
Is your answer $$\frac{1}{\sqrt{x}\sqrt{x - 1}}\frac{1}{2 \sqrt{x}}$$ or something else?

$$\frac{1}{\sqrt{x}\sqrt{x - 1}}\frac{1}{2 \sqrt{x}} = \frac{1}{2 x \sqrt{x - 1}}.$$