y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(...

`y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))`

DIFFERENTIAL EQUATIONS
NCERT BANGLISH|Exercise EXERCISE - 9.3|12 Videos
DIFFERENTIAL EQUATIONS
NCERT BANGLISH|Exercise EXERCISE - 9.4|23 Videos
DIFFERENTIAL EQUATIONS
NCERT BANGLISH|Exercise EXERCISE - 9.1|12 Videos
DETERMINANTS
NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos
INTEGRALS
NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

Similar Questions

Explore conceptually related problems

(1 + x^(2))(dy)/(dx) + 2xy = (1)/(1 + x^(2)), y = 0 when x= 1

If 2x = a + (1)/(a) and 2y = b + (1)/(b) , then prove that xy + sqrt((x^(2) -1) (y^(2) - 1)) = (1)/(2) (ab + (1)/(ab))

x = (sqrt3 + 1)/(sqrt3 - 1) and y = (sqrt3 - 1)/(sqrt3 + 1) . Then (x^2 + xy + y^2)/(x^2 -xy + y^2) is equal to :

Simplify : (a) sqrt(y+sqrt(2xy-x^(2))) + sqrt(y-sqrt(2xy-x^(2))) (b) (x+sqrt(x^2-1))/(x-sqrt(x^(2)-1)) -(x-sqrt(x^(2)-1))/(x+sqrt(x^(2)-1))

If y = (x+ sqrt(1+x^2))^n then prove that (1+x^2)y_2+xy_1 = n^2y .

If x = 5 + 2 sqrt6 and xy =1, " then " (1)/(x^(2)) + (1)/(y^(2)) =

If sqrt(1 -x^2) + sqrt(1-y^2) = a(x-y), show that, (dy)/(dx) = sqrtfrac(1-y^2)(1-x^2)

If cos^(-1).(x)/(2) + cos^(-1).(y)/(3) = (pi)/(6) , then prove that (x^(2))/(4) - (xy)/(2sqrt3) + (y^(2))/(9) = (1)/(4)

Solve: x(dy)/(dx)+2y=sqrt(1+x^(2)) , given y=1, when x=1

prove that . Tan ^(-1) x- tan ^(-1 )y = cos ^(-1) (1+xy)/(sqrt((1+x^(2))(1+y^(2)))).