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

Numerical Derivative Calculator

Compute the derivative of a power function f(x) = c·x^n + k at a chosen point using either the analytical power rule or a numerical finite-difference approximation. Select 'analytical', 'forward', or 'central' to compare exact and approximate results.

Leading Coefficient

Power of x

Constant Term

Point of Evaluation (x)

Derivative Method

Calculus

Critical Points Calculator

Finds the x-coordinate of the critical point (vertex) of a quadratic function ax² + bx + c by setting its derivative equal to zero. Use it to locate the maximum or minimum of any parabola instantly.

x² Coefficient (a)

x Coefficient (b)

Key differences

	Numerical Derivative Calculator	Critical Points Calculator
Category	Calculus	Calculus
Inputs required	5	2
Result	Derivative Value	Critical Point x-value
What it does	Compute the derivative of a power function f(x) = c·x^n + k at a chosen point using either the analytical power rule or a numerical finite-difference approximation. Select 'analytical', 'forward', or 'central' to compare exact and approximate results.	Finds the x-coordinate of the critical point (vertex) of a quadratic function ax² + bx + c by setting its derivative equal to zero. Use it to locate the maximum or minimum of any parabola instantly.