如何计算Derivative
learn.whatIsHeading
Derivative calculates instantaneous rate of change: df/dx = lim(h→0) [f(x+h)-f(x)]/h; foundation of calculus.
分步指南
- 1Input function
- 2Apply derivative rules: power rule, chain rule, product rule, quotient rule
- 3Results show derivative function
例题解析
输入
f(x) = x³ + 2x
结果
f'(x) = 3x² + 2
常见错误注意事项
- ✕Misapplying chain rule
- ✕Not remembering constant multiples rule
常见问题
What does derivative represent?
Slope of tangent line; instantaneous rate of change; velocity if position function.
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