Math Problem Statement

Solve both

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Product Rule
Chain Rule
Logarithmic Differentiation
Exponential Functions

Formulas

Product Rule: d(uv)/dx = u'v + uv'
Chain Rule: d(f(g(x)))/dx = f'(g(x)) * g'(x)
Derivative of e^x is e^x
Derivative of log(x) is 1/x

Theorems

Product Rule
Chain Rule
Logarithmic Differentiation

Suitable Grade Level

Undergraduate Calculus