Math Problem Statement

x*sqrt(x); x = 4; find tangent line

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Tangent Lines

Formulas

f(x) = x * sqrt(x) = x^(3/2)
f'(x) = (3/2) * x^(1/2)
Point-slope form: y - y1 = m(x - x1)

Theorems

Derivative as the slope of the tangent line

Suitable Grade Level

Grades 11-12 (AP Calculus)