Derivatives of Inverse Trig Functions

d/dx(sin⁻¹x) 1/√(1-x²), x ≠ ±1

d/dx(cos⁻¹x) -1/√(1-x²), x ≠ ±1

d/dx(tan⁻¹x) 1/(1+x²)

d/dx(cot⁻¹x) -1/(1+x²)

d/dx(sec⁻¹x) 1/(|x|√(x²-1)), x ≠ ±1, 0

d/dx(csc⁻¹x) -1/(|x|√(x²-1)), x ≠ ±1, 0