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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

Partial Derivative Calculator

Computes the partial derivative of a two-variable power function f(x,y) = aₓ·xᵐ·yⁿ with respect to either x or y at a specific point. Useful for multivariable calculus, gradient calculations, and optimization problems.

X Coefficient

Y Coefficient

X Exponent

Y Exponent

X Value

Y Value

Partial Derivative With Respect To

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Key differences

	Chain Rule Derivative Calculator	Partial Derivative Calculator
Category	Calculus	Calculus
Inputs required	5	7
Result	Chain Rule Derivative	Partial Derivative
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.	Computes the partial derivative of a two-variable power function f(x,y) = aₓ·xᵐ·yⁿ with respect to either x or y at a specific point. Useful for multivariable calculus, gradient calculations, and optimization problems.