Stage 36 · Limits, Derivatives & Their Applications
36.4.1 Derivatives of the Basic Functions
36.4 The Differentiation Toolbox: Formulas and Rules
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36.4.1 Derivatives of the Basic Functions
Core ideaPowers, exponentials, logarithms, and trig functions each have a fixed "steepness template," like (xⁿ)′=nxⁿ⁻¹, ready to use once you know them.
Module goal. Turn point-by-point limit-taking into looking things up and applying rules, so differentiation is fast and accurate across common functions and nested structures.