Math Problem Statement

find f prime of 4tanx/x

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Trigonometric Functions
Quotient Rule

Formulas

Quotient rule: (d/dx)(u(x)/v(x)) = (v(x)u'(x) - u(x)v'(x)) / (v(x))^2
Derivative of tan(x): d/dx(tan(x)) = sec^2(x)
Derivative of x: d/dx(x) = 1

Theorems

Quotient Rule

Suitable Grade Level

Grades 11-12 (Advanced High School) and College-Level Calculus