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Both calculators run independently — change the inputs on either side to compare results.

Arc Length Calculator

Compute the approximate arc length of a curve f(x) between two x-values using a constant average derivative. Use this for a quick linear approximation when the exact integral is complex.

Start Point (a)

End Point (b)

Average Derivative Value

Fill in the required fields to see your result.

Calculus

Chain Rule Calculator

Compute the derivative of a composite function f(g(x)) where f(u) = c·u^n and g(x) = m·x + b, evaluated at a given x. Applies the chain rule: (d/dx)[f(g(x))] = f'(g(x)) · g'(x).

Outer Function Coefficient

Outer Function Power

Inner Function Coefficient

Inner Function Constant

Evaluate at x =

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Key differences

	Arc Length Calculator	Chain Rule Calculator
Category	Calculus	Calculus
Inputs required	3	5
Result	Arc Length (units)	Chain Rule Derivative
What it does	Compute the approximate arc length of a curve f(x) between two x-values using a constant average derivative. Use this for a quick linear approximation when the exact integral is complex.	Compute the derivative of a composite function f(g(x)) where f(u) = c·u^n and g(x) = m·x + b, evaluated at a given x. Applies the chain rule: (d/dx)[f(g(x))] = f'(g(x)) · g'(x).