" (ii) "sin^(-1)((4cos x+5sin x)/(sqrt(41)))

If y= sin ^(-1) ((4cos x +5sin x )/( sqrt(41))) ,then (dy)/(dx)=

If y= sin ^(-1) ((4cos x +5sin x )/( sqrt(41))) ,then (dy)/(dx)=

The differential coefficient of sin^(-1)((4sin2x+3cos2x)/(5)) with respect to cos^(-1)((5cos x-4sin x)/(sqrt(41))) is -2b*-1c.1d

The differential coefficient of sin^(-1)((4sin2x+3cos2x)/5) with respect to cos^(-1)((5cos x-4sin x)/(sqrt(41))) is -2 b. -1 c. 1 d. 2

The differential coefficient of sin^(-1)((4sin2x+3cos2x)/5) with respect to cos^(-1)((5cos x-4sin x)/(sqrt(41))) is -2 b. -1 c. 1 d. 2

The differential coefficient of sin^(-1)((4sin2x+3cos2x)/5) with respect to cos^(-1)((5cos x-4sin x)/(sqrt(41))) is -2 b. -1 c. 1 d. 2

Differentiate the following w.r.t. x : sin^-1((4sinx+5cosx)/sqrt41)

int(2sin x)/((3+sin2x))dx is equal to (1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(2sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(4)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+cnone of these

Find (dy)/(dx) of the following :(1)e^(sqrt(sin x+cos x))(2)e^(x sin x)(3)2^(x sin x)(4)sqrt((1-x)/(1+x))