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Derivative Calculator

Write the polynomial coefficients starting from the highest degree, separated by commas. For example for 3x³ − 5x + 2 write: 3, 0, -5, 2.

How to use

  1. Write coefficients in decreasing order of degree (the highest power of x first).
  2. Write 0 for any missing power in between.
  3. The power rule (d/dx xⁿ = n xⁿ⁻¹) is applied to each term and the steps are shown.

Note: This tool only works for polynomials and uses the power rule. Trig, log and exponential functions are not supported.

Tips

  • Write coefficients in order from the highest power of x down to the constant term.
  • Put 0 for any missing power — for x³ + 2x write 1, 0, 2, 0.
  • The steps show the power rule on each term, useful for checking homework.