Question

IF `y = e^(sin-1x)   and  z =e^(-cos-1x),` prove that `dy/dz = e^x//2`

Answer 1

`y =e ^(sin-1x) and (z=e^(-cos-1x))`

`y/z = e^(sin-1x)/(e^(-cos-1x)) = e^(cos^-1 x+sin^-1x)`

`y/z = e^(pi/2)`
`y=e^(pi/2)z`

`dy/dz =e^(pi/2)dz/dz`

`dy/dz=e^(pi/2)(1)`