Calxsolver
Calculus

Derivative at a Point

Enter a function of x and a point a. The calculator estimates the derivative f'(a) with a symmetric central-difference formula, which works for any expression including trigonometric, exponential and rational functions.

Derivative at a Point

Numeric derivative of any function of x at a point.

Try:

Frequently asked questions

How accurate is the result?

The central-difference method is accurate to several significant figures for smooth functions; results are clearly marked as approximate.

What functions can I use?

Any expression in x with +, −, ×, ÷, ^ and the functions sqrt, sin, cos, tan, ln, log, exp and more.

Do I need a polynomial?

No. For polynomials you can get an exact symbolic answer from the Polynomial Derivative tool, but this works for any function.

Related solvers

Polynomial Derivative Differentiate a polynomial exactly with the power rule. Polynomial Integral Integrate a polynomial — indefinite or definite. Derivative Calculator Symbolic derivative of any function — chain, product and quotient rules. Integral Calculator Symbolic antiderivative — indefinite or definite — with full working. Definite Integral Numeric definite integral of any function of x. Limit Calculator Estimate the limit of a function as x approaches a value. Tangent Line Calculator Equation of the tangent line to a curve at a point.