Compare calculators

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

Chain Rule Derivative Calculator

Evaluates the derivative of a composite polynomial function y = a(bx + c)ⁿ at a given x value using the chain rule. Ideal for calculus learners verifying step-by-step differentiation of power-of-linear expressions.

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 Derivative Calculator	Numerical Derivative Calculator
Category	Calculus	Calculus
Inputs required	5	5
Result	Chain Rule Derivative	Derivative Value
What it does	Evaluates the derivative of a composite polynomial function y = a(bx + c)ⁿ at a given x value using the chain rule. Ideal for calculus learners verifying step-by-step differentiation of power-of-linear expressions.	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.