SutraFlow
Back to Calanā-Kalanābhyāṃ

चलन-कलनाभ्याम्

Learn: Calanā-Kalanābhyāṃ

Use calculus-like derivative thinking: find roots of a polynomial by examining its rate of change pattern.

Live Demo
Hunt for a repeated root

Calanā-Kalanābhyāṃ uses "differential calculus." A double root is special: there the curve only touches the x-axis, so both the polynomial AND its slope are zero.

x = 2
1

Hunt for a repeated root

Calanā-Kalanābhyāṃ uses "differential calculus." A double root is special: there the curve only touches the x-axis, so both the polynomial AND its slope are zero.

1 / 6

⚡ Speed Advantage

Vedic
5 steps
Traditional
7 steps

See how few steps Vedic method needs!