Math Problem Statement
Compute the derivative of the function 𝑦=4cos−1(𝑥5).
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Inverse Trigonometric Functions
Chain Rule
Differentiation
Formulas
d/dx [cos⁻¹(u)] = -1 / √(1 - u²)
Chain Rule: dy/dx = (dy/du) * (du/dx)
Theorems
Chain Rule for Differentiation
Suitable Grade Level
Grades 11-12 / Early College