Math Problem Statement
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You said: For what value of x does the function f (x) have a critical point if
f (x) = e x4/4 + 10px
Answer with an expression that includes p.'
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Critical Points
Derivatives
Exponentials
Formulas
Derivative of e^(x^4/4): d/dx [e^(x^4/4)] = e^(x^4/4) * x^3
Setting the derivative f'(x) = 0 for critical points
Theorems
Chain Rule
Critical Point Definition (f'(x) = 0 or undefined)
Suitable Grade Level
Grades 11-12