Question

dy
find 7 if y = sin
if y = sin^(-1) (4cos^(3)x – 3cosx)
dx​

Answer 1

y=cos ^(-1) ((3cos x-4sin x )/( 5) ) ,then (dy)/(dx)=

Answer 2

Answer:

y=cosx 3 sin 2 (x 5)

Now,

dxdy=2cos(x 3 )sin(x 5)cos(x 5 )(5x 4 )+(−sin(x 3 )sin 2 (x 5 )×3x 2 )=10x 4 cos(x 3 )cos(x 5 )sin(x 5 )−3x 2sin(x 3)sin 2(x 5 )