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

Surface of Revolution Calculator

Calculates the surface area formed when a quadratic curve f(x) = c0 + c1·x + c2·x² is rotated around the x-axis or y-axis over a chosen interval. Ideal for calculus courses and 3D design problems involving solids of revolution.

Constant term (c0)

Linear coefficient (c1)

Quadratic coefficient (c2)

Axis of Rotation

Lower Limit

Upper Limit

Fill in the required fields to see your result.

Calculus

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.

Key differences

	Surface of Revolution Calculator	Chain Rule Derivative Calculator
Category	Calculus	Calculus
Inputs required	6	5
Result	Surface Area (square units)	Chain Rule Derivative
What it does	Calculates the surface area formed when a quadratic curve f(x) = c0 + c1·x + c2·x² is rotated around the x-axis or y-axis over a chosen interval. Ideal for calculus courses and 3D design problems involving solids of revolution.	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.