Differentiate inverse trig (1 Viewer)

[sinophile]

Differentiate twice:

y=1/[Sqrt(4 - x^2)}

 

[Trebla]

What does this have to do with inverse trig? It's a standard differentiation problem....

 

[Prashant Sallan]

 

[sinophile]

What does this have to do with inverse trig? It's a standard differentiation problem....

Its the differentiation of inverse sine x over two. I omitted the other parts of the question.

Im asking this question because I continously try differentiating it and never get the same answer as in the textbook. I want someone to go through the working out so I can see where im going wrong.

 

[Trebla]

Its the differentiation of inverse sine x over two. I omitted the other parts of the question.

Im asking this question because I continously try differentiating it and never get the same answer as in the textbook. I want someone to go through the working out so I can see where im going wrong.

It's still a bit unclear, what exactly you are looking for, so I'll just guess and give this:

 

[sinophile]

Ah, sorry if i wasnt clear, but I wanted someone to just differentiate the function I gave above twice. y'know, you have f(x), and you want to get f''(x).

 

[kaz1]

d/dx (4-x²)^-1/2
-1/2(4-x²)^-3/2.-2x
x/(4-x²)^3/2