Calculus

Derivatives, integrals, limits, and sums — symbolic and numeric.

Instacalc does calculus directly from plain expressions. Derivatives come back symbolically (with steps); definite integrals, limits, and sums evaluate to a number.

Derivatives

Use derive or derivative of. The result shows the symbolic derivative and the rule used (power rule, sum rule, trig derivative, …) — click Show steps to expand the work.

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Plot a function together with its derivative to see the relationship — where is steepest, its derivative 2x is largest:

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Integrals

Definite integrals evaluate to a number. Give the bounds with from … to …:

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Limits

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Sums

Sum a sequence over an index range with from … to …:

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Notes

  • Trig defaults to degrees. For calculus on trig functions you usually want radians — add // @radians to the calc, or write the angle in radians explicitly (sin(x rad)). See Science & Engineering.

See also