Kā aprēķināt Derivative
Kas ir Derivative?
Derivative calculates instantaneous rate of change: df/dx = lim(h→0) [f(x+h)-f(x)]/h; foundation of calculus.
Soli pa solim ceļvedis
- 1Input function
- 2Apply derivative rules: power rule, chain rule, product rule, quotient rule
- 3Results show derivative function
Worked Examples
Ievade
f(x) = x³ + 2x
Rezultāts
f'(x) = 3x² + 2
Common Mistakes to Avoid
- ✕Misapplying chain rule
- ✕Not remembering constant multiples rule
Frequently Asked Questions
What does derivative represent?
Slope of tangent line; instantaneous rate of change; velocity if position function.
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