Math Problem Statement

Differentiate the function. y =

SQUre root of 6 + 6e6x

y' =

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Chain Rule
Exponential Functions

Formulas

Derivative of square root function: d/dx[√u] = 1/(2√u) * du/dx
Derivative of exponential function: d/dx[e^kx] = ke^kx

Theorems

Chain Rule

Suitable Grade Level

Grades 11-12 or Early Calculus