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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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Calculus

Rectangular Rule Integration

Approximate a definite integral using a rectangular (midpoint-style) rule with a chosen number of subintervals and an averaged function value. Returns the area of a single representative rectangle of width Δx.

Lower Bound (a)

Upper Bound (b)

Number of Intervals (n)

Average Function Value

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Key differences

	Partial Derivative Calculator	Rectangular Rule Integration
Category	Calculus	Calculus
Inputs required	7	4
Result	Partial Derivative	Approximate Integral
What it does	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.	Approximate a definite integral using a rectangular (midpoint-style) rule with a chosen number of subintervals and an averaged function value. Returns the area of a single representative rectangle of width Δx.