Partial Differentiation Calculator
Compute partial derivatives of functions with respect to specified variables. Supports basic functions like polynomials, trigonometric, exponential, and logarithmic functions.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Partial Differentiation Calculator
- Enter a function in the Function f(x,y,…) field. Use
^for exponents (e.g.,x^2 + y^2),*for multiplication, and supported functions:sin,cos,tan,log,exp,sqrt. - Specify the variable to differentiate with respect to in the Differentiate with respect to field. Use a single letter:
x,y,z,t,u,v, orw. - Click Calculate to compute the partial derivative.
- Read the result displayed as
∂f/∂variable ≈ value. The calculator uses a central difference approximation withh = 1e-8for numerical differentiation. - Review the steps shown below the result for a brief explanation of the calculation method.
All variables are treated as independent. The calculator works for functions of one or more variables but differentiates with respect to the chosen variable only.
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Frequently Asked Questions
The calculator supports polynomials (use ^ for exponent), trigonometric (sin, cos, tan), exponential (exp), logarithmic (log), square root (sqrt), and constants like pi and e.
The derivative is computed using the central difference approximation: (f(x+h) - f(x-h)) / (2h) with h = 1e-8.
You can use variables x, y, z, t, u, v, w. Enter the variable you want to differentiate with respect to.
