Math Problem Statement

If f, of, x, equals, sine, to the power minus 1 , left parenthesis, x, right parenthesis, commaf(x)=sin −1 (x), then what is the value of f, prime, left parenthesis, start fraction, 2, divided by, 5, end fraction, right parenthesisf ′ ( 5 2 ​ ) in simplest form?

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Inverse Trigonometric Functions
Derivatives

Formulas

f'(x) = 1 / sqrt(1 - x^2)

Theorems

Derivative of Inverse Trigonometric Functions

Suitable Grade Level

Grades 11-12 or College Level