What is the inverse of D/(Dx)x^3+2x-1 ?

The inverse of D/(Dx)x^3+2x-1 is -1+sqrt(x+2),-sqrt(x+2)-1

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inverse of D/(Dx)x^3+2x-1

inverse

\frac{D}{D x} x^{3} + 2 x - 1

- 1 + x + 2, - x + 2 - 1

Solution steps

y = \frac{D}{D x} x^{3} + 2 x - 1

Replace

x

with

y

x = \frac{D}{Dy} y^{3} + 2 y - 1

Solve for

y, x = \frac{D}{Dy} y^{3} + 2 y - 1

- 1 + x + 2, - x + 2 - 1

What is the inverse of D/(Dx)x^3+2x-1 ?
The inverse of D/(Dx)x^3+2x-1 is -1+sqrt(x+2),-sqrt(x+2)-1