Derivative Formula for Power Functions
The derivative of the power function y = x^a is y' = a x^(a - 1). Applicable Conditions: a is a constant, and x is differentiable within its domain. Explanatio…
Syllabus path: Functions › Basic Elementary Functions › Power Functions
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CSCA Mathematics Formula Reference
Formula and explanation
The derivative of the power function y = x^a is y' = a x^(a - 1). Applicable Conditions: a is a constant, and x is differentiable within its domain. Explanation: This is one of the basic differentiation formulas, used to calculate the instantaneous rate of change of a power function.
Related tutorial and examples
Power Functions
Power Functions 1. Core Concepts Power Functions are functions of the form y = x^(α), where x is the variable and α is a constant. Key Distinction: Power Function: Base is variable x, Exponent is constant (e.g., y = x³ ). Exponential Function: Base is constant a, Exponent is vari…
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