Symbolab Derivative Calculator

Calculate derivatives of functions (explicit or implicit) with step-by-step solutions. Enter a function (e.g., x^2 + sin(x)) or implicit equation (e.g., x^2 + y^2 = 1), select derivative type, and optionally evaluate at a point. View graphs and detailed explanations.

Derivative Result

Tips for Using the Calculator

  • Explicit functions: Enter as y = f(x) (e.g., x^2 + sin(x), e^x, ln(x)).
  • Implicit equations: Enter as f(x, y) = 0 (e.g., x^2 + y^2 – 1).
  • Point: For explicit, enter x-value (e.g., 1); for implicit, enter x, y (e.g., 0.5, 0.866).
  • Supported functions: polynomials, sin(x), cos(x), ln(x), e^x, xy (implicit).
  • Graphs show the function and its derivative (explicit) or implicit curve.

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