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Derivatives of Inverse Trig Functions

Mathematics · Class 12

d(arcsin x)/dx=1/sqrt(1-x^2); d(arctan x)/dx=11+x², with domain conditions.

Derivatives of inverse trig functions
rule
worked example
Derivatives of inverse trig functions: d(arcsin x)/dx=1/sqrt(1-x^2); d(arctan x)/dx=11+x², with domain conditions.
CONCEPT AND RULE: d(arcsin x)/dx=1/sqrt(1-x^2); d(arctan x)/dx=11+x², with domain conditions.
METHOD: For derivatives of inverse trig functions, identify the given information and required result. Selec
d(arcsin x)/dx=1/sqrt(1-x^2); d(arctan x)/dx=11+x², with domain conditions.
Worked pattern: d[arctan(2x)]/dx=21+4x².

Right triangle — Derivatives of Inverse Trig Functions — original sketch for this lesson (not copied from a textbook).