Calculus & Numerical Methods

Curvature of y=f(x)

Curvature of a curve at point x.

Formula

Formula
κ = f''1 + f'2

Variables

SymbolDefinitionType & rangeUnitsRole
f function expression / text x input
x point real number (ℝ) — input

Try it yourself

Interactive calculator
math expression (e.g. x*x, sin(x))
Result
—

Worked examples

Example 1
Givenf(x) = x*x, x = 0
Result2
Example 2
Givenf(x) = sin(x), x = 1.5707963
Result1.000000016