Math Problem Statement

Find the derivative of the function, y = arctan(sinh x)

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Hyperbolic Functions
Inverse Trigonometric Functions
Differentiation

Formulas

d/dx arctan(u) = 1 / (1 + u^2) * du/dx
d/dx sinh(x) = cosh(x)
1 + sinh^2(x) = cosh^2(x)

Theorems

Chain Rule
Hyperbolic Identity: 1 + sinh^2(x) = cosh^2(x)

Suitable Grade Level

University Level Calculus