y=sin(x^(2)+5)

If y=sin (x^(2) +x+5) ,then (dy)/(dx) =

If y=cos (x^(3)) sin ^(2) (x^(5)),then (dy)/(dx) =

The number of elements in the range of the function : y =sin ^(-1) [x ^(2) + (5)/(9)] + cos ^(-1) [x ^(2) -(4)/(9)] where [.] denotes the greatest integer function is

The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/9]+cos^(-1) [x^(2)-4/9] where where [.] denotes the greatest integer function is:

The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/9]+cos^(-1) [x^(2)-4/9] where where [.] denotes the greatest integer function is:

If 2y =sin^(-1) (x + 5y) , then (dx)/(dy) is equal to

If 2y=sin^-1(x+5y),then,(dy)/(dx) is equal to

If 2y=sin^-1(x+5y),then,(dy)/(dx) is equal to

If y=y(x) and it follows the relation 4xe^(xy)=y+5sin^(2)x, then y'(0) is equal to

The curve y=-(x^(2))/(2)+x+sin^(2)x+sin^(2)((5 pi)/(2)-x) is symmetric with respect to line having equation