Math Problem Statement

Differentiate y=5^(x^2-1)

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Exponential Functions
Logarithmic Differentiation
Chain Rule

Formulas

d/dx a^u = a^u * ln(a) * du/dx
d/dx e^u = e^u * du/dx
Chain rule: d/dx f(g(x)) = f'(g(x)) * g'(x)

Theorems

Chain Rule
Logarithmic Differentiation

Suitable Grade Level

Grades 11-12