Math Problem Statement

Calculate the derivative of the following functions. (a) f (x) = cot2 x

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Trigonometric Functions
Chain Rule

Formulas

Derivative of cot(x): d/dx(cot(x)) = -csc²(x)
Chain rule: d/dx(g(h(x))) = g'(h(x)) * h'(x)

Theorems

Chain Rule
Derivative of Trigonometric Functions

Suitable Grade Level

College Calculus