Fill in the blanks:
`d/dx(sin^3xcos^3x)` is equal to……………

d/dx{sin^-1(e^x)} is equal to :

Fill in the blanks : d/dx [cos^-1(sin x)] =_______

d/(dx)sin2x is equal to:

d/dx[sin^(-1)(cos x)] =

d/dx(e^(2sin^-1x)) =

[d/dx(sin^-1 x + cos^-1 x)]

Fill in the blanks : d/dx [sin^-1 *(2x)/(x^2 +1)] =________

d/(dx) (sin^(-1) x/a)

Fill in the blanks from the given options : (1)/(2) , 9 (6x - 9) (3x^(2) - 9x + 5)^(8), 49, -2, (1)/(2) [log(sin x)]^(2) + c, (1)/(x), 10 , onto (d)/(dx) [3x^(2) - 9x+5]^(9) = ………

For the following differentiation results, write down the corresponding results in integrations: d/(dx)(sin^2x)=sin2x .