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Derivative calculates instantaneous rate of change: df/dx = lim(h→0) [f(x+h)-f(x)]/h; foundation of calculus.
चरण-दर-चरण मार्गदर्शिका
- 1Input function
- 2Apply derivative rules: power rule, chain rule, product rule, quotient rule
- 3Results show derivative function
हल किए गए उदाहरण
इनपुट
f(x) = x³ + 2x
परिणाम
f'(x) = 3x² + 2
सामान्य गलतियां जिनसे बचना है
- ✕Misapplying chain rule
- ✕Not remembering constant multiples rule
अक्सर पूछे जाने वाले प्रश्न
What does derivative represent?
Slope of tangent line; instantaneous rate of change; velocity if position function.
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