Yes. Our online derivative calculator is a specialized symbolic tool that computes exact derivatives with steps. Other options include general-purpose systems like Wolfram Alpha or physical graphing calculators.

To calculate a derivative, enter your function expression (e.g., x^3 - 2*x + 1) in the main input field, choose the differentiation variable (usually x), select the derivative order, and click 'Differentiate'. The engine will compile and solve it symbolically.

Type your function using standard algebraic notations: use * for multiplication (e.g. 3*x), ^ for exponents (e.g. x^2), and parentheses to enclose function arguments (e.g., sin(x)). See our syntax guide for details.

The derivative of a function represents its instantaneous rate of change with respect to its input variable. Geometrically, it represents the slope of the tangent line to the graph of the function at any given point.

Yes. This is a derivative calculator with steps. It logs every applied calculus rule—such as the power, product, quotient, and chain rules—and displays them in a clear step-by-step trace showing the logic.

A partial derivative calculator computes the derivative of a function of multiple variables with respect to one variable, while treating all other variables as constants. In our calculator, symbols other than the selected variable (e.g., y, z) are treated as constants automatically.

Choose '2nd' (second derivative) from the order selector dropdown. The engine will differentiate your expression twice, showing the full step-by-step calculus rules applied for both passes.

Yes. If your input includes an equals sign (like x^2 + y^2 = 1), the tool switches to implicit mode. It calculates partial derivatives for both variables to find dy/dx automatically.

Yes. It supports sine (sin), cosine (cos), tangent (tan), secant (sec), cosecant (csc), cotangent (cot), as well as hyperbolic and inverse trigonometric functions.

Yes. You can use standard symbols like √ and π directly in the input field. The parser also accepts sqrt(...) and pi.

First, differentiate the function symbolically. Once the exact derivative is displayed, enter your target point in the 'Evaluate at' input below the result to see the numerical evaluation instantly.

On a TI-84 calculator, press [MATH] and select '8:nDeriv('. Enter your function, specify the variable, and the point of evaluation in the template: d/d[X]([function])|[X]=[point]. Note that this computes a numerical approximation rather than a symbolic formula.

Yes. This online tool is 100% free, runs entirely inside your browser, displays no advertisements, and requires no sign-ups or user accounts.

It is highly accurate because it uses a symbolic computer algebra engine. It computes exact formulas and simplifies them using algebraic identities, rather than using numerical approximations.