![If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (sqrt(pi))/6 (b) -sqrt(pi//6) 1//sqrt(6) (d) pi//sqrt(6) If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (sqrt(pi))/6 (b) -sqrt(pi//6) 1//sqrt(6) (d) pi//sqrt(6)](https://d10lpgp6xz60nq.cloudfront.net/web-thumb/30871_web.png)
If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (sqrt(pi))/6 (b) -sqrt(pi//6) 1//sqrt(6) (d) pi//sqrt(6)
![recurrence relations - How to solve the integral $I_n=\int_{0}^{1}x^n\sqrt{1 -x}$? - Mathematics Stack Exchange recurrence relations - How to solve the integral $I_n=\int_{0}^{1}x^n\sqrt{1 -x}$? - Mathematics Stack Exchange](https://i.stack.imgur.com/TSWKT.jpg)
recurrence relations - How to solve the integral $I_n=\int_{0}^{1}x^n\sqrt{1 -x}$? - Mathematics Stack Exchange
![Evaluate the integral from 0 to sqrt(pi) of the integral from y to sqrt(pi) of cos(x^2) dx dy by reversing the order of integration. | Homework.Study.com Evaluate the integral from 0 to sqrt(pi) of the integral from y to sqrt(pi) of cos(x^2) dx dy by reversing the order of integration. | Homework.Study.com](https://homework.study.com/cimages/multimages/16/plot342436819923163758451.jpg)
Evaluate the integral from 0 to sqrt(pi) of the integral from y to sqrt(pi) of cos(x^2) dx dy by reversing the order of integration. | Homework.Study.com
![If `sqrt(1-x^(2)) + sqrt(1-y^(2))=a(x-y)`, then prove that `(dy)/(dx) = sqrt ((1-y^(2))/(1-x^(2)))` - YouTube If `sqrt(1-x^(2)) + sqrt(1-y^(2))=a(x-y)`, then prove that `(dy)/(dx) = sqrt ((1-y^(2))/(1-x^(2)))` - YouTube](https://i.ytimg.com/vi/Sebvt9_GYI4/mqdefault.jpg)
If `sqrt(1-x^(2)) + sqrt(1-y^(2))=a(x-y)`, then prove that `(dy)/(dx) = sqrt ((1-y^(2))/(1-x^(2)))` - YouTube
![y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e r e` `-1 ltx lt1,x!=0` - YouTube y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e r e` `-1 ltx lt1,x!=0` - YouTube](https://i.ytimg.com/vi/g-_YmwwFNrM/maxresdefault.jpg)
y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))),w h e r e` `-1 ltx lt1,x!=0` - YouTube
![If `x\ sqrt(1+y)+y\ sqrt(1+x\ )\ 0,\ -1<x<1,\ x!=y ,` then prove that `(dy)/(dx)=-1/((1+x)^2) - YouTube If `x\ sqrt(1+y)+y\ sqrt(1+x\ )\ 0,\ -1<x<1,\ x!=y ,` then prove that `(dy)/(dx)=-1/((1+x)^2) - YouTube](https://i.ytimg.com/vi/eaP0RfpQm8g/maxresdefault.jpg)