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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 =

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Calculus

Implicit Differentiation Calculator

Finds the slope dy/dx of a conic section curve (circle or ellipse) defined by Ax² + By² = C at a specified point. Use it when the relationship between x and y cannot be solved explicitly for y.

X² Coefficient

Y² Coefficient

X Point

Y Point

Curve Type

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Key differences

	Chain Rule Calculator	Implicit Differentiation Calculator
Category	Calculus	Calculus
Inputs required	5	5
Result	Chain Rule Derivative	dy/dx
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).	Finds the slope dy/dx of a conic section curve (circle or ellipse) defined by Ax² + By² = C at a specified point. Use it when the relationship between x and y cannot be solved explicitly for y.