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Differentiating Inverse Trig Functions

Definition

Differentiating inverse trig functions involves finding the derivative of functions that involve inverse trigonometric functions, such as arcsin(x), arccos(x), and arctan(x).

Analogy

Think of differentiating inverse trig functions like peeling layers off an onion. Each layer represents a step in the process of finding the derivative, starting from the outermost layer (the original function) and working towards the innermost layer (the final derivative).

Related terms

Chain Rule: The chain rule is a method used to find the derivative of composite functions. It allows us to differentiate functions within other functions.

Trigonometric Functions: Trigonometric functions are mathematical functions that relate angles to ratios of side lengths in right triangles. Examples include sine, cosine, and tangent.

Inverse Functions: Inverse functions "undo" what a function does. They switch input values with output values, allowing us to solve equations involving unknown variables.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.