Posted by **anon** on Monday, October 21, 2013 at 5:54pm.

Let y = arcsin x, x is an element of ]-1, 1[. Show that d^2y/dx^2 = 2-x^2/(1-x^2)^3/2

- math -
**Steve**, Monday, October 21, 2013 at 6:50pm
straightforward derivative. Where do you get stuck?

y' = (1-x^2)^(-1/2)

now just use the power rule and chain rule to get y"

- math -
**anon**, Monday, October 21, 2013 at 7:34pm
Sorry i meant x arrsin x.

So I thought the first derivative of that would be

x/sqrt1-x^2 + arcsinx

- math -
**anon**, Monday, October 21, 2013 at 7:35pm
xarcsinx*

- math -
**anon**, Monday, October 21, 2013 at 7:37pm
I get stuck on the second derivative, trying to get it to equal 2-x^2/(1-x^2)^3/2.

I think that from my first derivative, you have to sure the quotient rule

- math -
**anon**, Monday, October 21, 2013 at 7:38pm
*use the quotient rule

- math -
**anon**, Monday, October 21, 2013 at 7:52pm
I tried to use the quotient rule but I get stuck simplifying it.

I got

(sqrt1-x^2)(1/sqrt1-x^2) - (x+arcsinx)(1/2(1-x^2)2x) / (sqrt1-x^2)^2

- math -
**anon**, Monday, October 21, 2013 at 8:11pm
please help me. I don't know what I am doing wrong

## Answer This Question

## Related Questions

- calculus - Let y =x arcsin x, x is an element of ]-1, 1[. Show that d^2y/dx^2 = ...
- maths - using the mean valiue thereom on f(x)=arcsin(x), show that x< arcsin(...
- discrete math - Fill in the blanks: For all sets A and B, if A is in the set of ...
- math - Eliminate the parameter (What does that mean?) and write a rectangular ...
- Math - Find the exact value of sin(A+B) when angle A is arcsin(8/17) and angle B...
- modern algebra - I have two questions... I would really appreciate some help... ...
- calculus - How do you find: the Integral of arcsin(1 / (sqrt x^2 - 1) ) dx ?? (...
- Precal - Use a calculator to evaluate the expression. arcsin 0.45 arctan 15 ...
- calculus - Please help. i am confused on how to do this one. I keep getting ...
- Calculus - s=dx/(4+5cos x). By using t-substitution, i.e. t=tan(x/2) we get ...

More Related Questions