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

Related Rates Calculator

Compute the rate of area change of a circle whose radius grows at a constant rate, evaluated after a given elapsed time. Returns dA/dt = 2π · r(t) · (dr/dt) at the chosen moment.

Initial Radius (units)

Rate of Radius Change (units/time)

Time Elapsed (time units)

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

	Related Rates Calculator	Chain Rule Calculator
Category	Calculus	Calculus
Inputs required	3	5
Result	Rate of Area Change (square units/time)	Chain Rule Derivative
What it does	Compute the rate of area change of a circle whose radius grows at a constant rate, evaluated after a given elapsed time. Returns dA/dt = 2π · r(t) · (dr/dt) at the chosen moment.	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).