Differentiate w.r.t. x sin^(-1)⁡〖(3x-4x)〗

Question

i need help on how to Differentiate sin^(-1)⁡〖(3x-4x)〗 

Answer 1

The function xsin^-1(3x-4x) can be rewritten as xsin^-1(-x). Differentiation is given by [d(x)/dx]sin^-1(-x) +

x[d(sin^-1(-x))/dx] which simplifies to (1)sin^-1(-x) + x[(d(-x)/dx)/√(1 - (-x)²)].

Final answer is sin^-1(-x) - [x/√(1-x²)].