Math Problem Statement

Hitung turunan fungsi trigonometri & invers trigonometri dari fungsi y = X^4 × tan^-1 {sin x + cos x/ sin x - cos x}

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometric Functions
Inverse Trigonometric Functions
Differentiation

Formulas

Derivative of inverse tangent function: d/dx [tan^(-1)(u)] = u' / (1 + u^2)
Product rule for differentiation: d/dx [u*v] = u'v + uv'

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Grades 11-12