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A calculus reference covering common derivative and integration rules, with worked examples. Calculus is the mathematics of continuous change, developed independently by Newton and Leibniz.

公式

Power rule: d/dx(xⁿ) = nxⁿ⁻¹

ステップバイステップガイド

  1. 1Derivative: instantaneous rate of change of a function
  2. 2Integral: area under a curve (antiderivative)
  3. 3Power rule: d/dx(xⁿ) = nxⁿ⁻¹
  4. 4Fundamental theorem: differentiation and integration are inverse operations

解いた例

入力
f(x) = 3x² + 2x + 1
結果
f'(x) = 6x + 2

よくある質問

What is Calculus?

A calculus reference covering common derivative and integration rules, with worked examples. Calculus is the mathematics of continuous change, developed independently by Newton and Leibniz

How accurate is the Calculus calculator?

The calculator uses the standard published formula for calculus. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Calculus calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Calculus calculator use?

The core formula is: Power rule: d/dx(xⁿ) = nxⁿ⁻¹. Each step in the calculation is shown so you can verify the result manually.

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