Compare calculators

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

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 =

Fill in the required fields to see your result.

Calculus

Numerical Derivative Calculator

Compute the derivative of a power function f(x) = c·x^n + k at a chosen point using either the analytical power rule or a numerical finite-difference approximation. Select 'analytical', 'forward', or 'central' to compare exact and approximate results.

Leading Coefficient

Power of x

Constant Term

Point of Evaluation (x)

Derivative Method

Fill in the required fields to see your result.

Key differences

	Chain Rule Calculator	Numerical Derivative Calculator
Category	Calculus	Calculus
Inputs required	5	5
Result	Chain Rule Derivative	Derivative Value
What it does	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).	Compute the derivative of a power function f(x) = c·x^n + k at a chosen point using either the analytical power rule or a numerical finite-difference approximation. Select 'analytical', 'forward', or 'central' to compare exact and approximate results.