Math Problem Statement

Find the derivative of the function. h(x) = x2 arctan(7x)

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Product Rule
Chain Rule
Derivatives of Trigonometric Functions

Formulas

Product Rule: d/dx[u(x)v(x)] = u'(x)v(x) + u(x)v'(x)
Chain Rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Derivative of arctan(x): d/dx[arctan(x)] = 1/(1+x^2)

Theorems

Product Rule
Chain Rule

Suitable Grade Level

Grades 11-12 / Early University