Math Problem Statement
Use the definition of derivative to find πβ²π₯, where f( x)= 1/β(x-1)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Limits
Formulas
f'(x) = lim(h -> 0) [f(x+h) - f(x)] / h
f(x) = 1 / β(x-1)
Rationalizing the numerator
Theorems
Limit definition of derivative
Algebraic manipulation of limits
Suitable Grade Level
Grade 11-12 (Pre-Calculus, Calculus I)