Posted by **anon** on Monday, October 21, 2013 at 8:25pm.

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

- calculus -
**anon**, Monday, October 21, 2013 at 8:31pm
I really need help on this!!!!

- calculus -
**Count Iblis**, Monday, October 21, 2013 at 8:56pm
The secoind derivative of a product of two functions f(x) and g(x) is:

f''(x) g(x) + 2 f'(x) g'(x) + f(x)g''(x)

If you take f(x) = x and

g(x) = arcsin(x) then the first term is zero, so you only have to evaluate the last two terms. If you add them up you will get (2-x^2)/(1-x^2)^3/2.

## Answer This Question

## Related Questions

- math - Let y = arcsin x, x is an element of ]-1, 1[. Show that d^2y/dx^2 = 2-x^2...
- Calculus - Find the exact value of cot(arcsin(12/13)) and cos(arcsin(1.7/2)) I ...
- maths - using the mean valiue thereom on f(x)=arcsin(x), show that x< arcsin(...
- calculus - Please help. i am confused on how to do this one. I keep getting ...
- calculus - How do you find: the Integral of arcsin(1 / (sqrt x^2 - 1) ) dx ?? (...
- Calculus - Find the length of the entire perimeter of the region inside r=5sin(...
- Calculus - Hi. In an integration solution, the integral of (1/(sqrt (8-u squared...
- Calculus - s=dx/(4+5cos x). By using t-substitution, i.e. t=tan(x/2) we get ...
- Calculus - I'm having a little trouble with this problem...it would be great if ...
- discrete math - Fill in the blanks: For all sets A and B, if A is in the set of ...

More Related Questions