Math Problem Statement
For what value of x does the function f (x) have a critical point if
f (x) = e x10/10 + 7px
Answer with an expression that includes p.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Transcendental Equations
Critical Points
Formulas
f'(x) = x^9 e^{x^{10}} + 7p
Critical points are found by setting the derivative equal to zero.
Theorems
Critical point theorem: f'(x) = 0 at critical points.
Transcendental equation solving.
Suitable Grade Level
College Level
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