Question

please tell it hurry​

Answer 1

Given : Cos⁻¹ (4x³  - 3x)

To Find : Differentiation

Solution:

y  =  Cos⁻¹ (4x³  - 3x)

let say x = cost

dx/dt  = -sint

=> dx/dt  = - sin ( cos⁻¹x)

=> dx/dt  =  -√(1 - x²)

=>  dt/dx   = -1/√(1 - x²)

 y =   Cos⁻¹ (4x³  - 3x)

=> y  =Cos⁻¹ (  4cos³t  -  3cost )

=> y   = Cos⁻¹( cos3t)

=> y = 3t

dy/dt  =  3

dy/dx  = ( dy/dt ) * (dt/dx)

=> dy/dx = 3 (  -1/√(1 - x²)

=> dy/dx = - 3/√(1 - x²)

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