Level 452 Level 454
Level 453

Derivatives of Inverse Trigonometric Functions


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arcsinx
1/sqrt(1-x^2)
arccosx
-1/sqrt(1-x^2)
arctanx
1/(1+x^2)
arccscx
-1/(xsqrt(x^2-1))
arcsecx
1/(xsqrt(x^2-1))
arccotx
-1/(1+x^2)
d sin⁻¹ (u/a)
1 / √(a²-u²) * du/dx
d cos⁻¹(u/a)
-1 / √(a²-u²) * du/dx
d tan⁻¹ (u/a)
a / a² + u² * du/dx
d cot⁻¹(u/a)
-a / a² + u² * du/dx
d sec⁻¹(u/a)
a/|u|√u²-a² * du/dx
d csc⁻¹ (u/a)
-a/|u|√u²-a² * du/dx