Math Problem Statement
Given f(x)=(e^(−2x))/(1+e^(10x)); find f′(x).
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Quotient Rule
Exponential Functions
Formulas
Quotient Rule: (u(x)/v(x))' = (u'(x)v(x) - u(x)v'(x)) / (v(x))^2
Derivative of e^ax: d/dx(e^ax) = ae^ax
Theorems
Quotient Rule
Suitable Grade Level
University level calculus
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