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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

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.

Key differences

	Chain Rule Derivative Calculator	Surface of Revolution Calculator
Category	Calculus	Calculus
Inputs required	5	6
Result	Chain Rule Derivative	Surface Area (square units)
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.	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.