Derivative Calculator
Calculate the derivative of a polynomial function at a given point
About this calculator
This derivative calculator instantly computes the derivative of polynomial functions and evaluates them at specific points. It's an essential tool for calculus students, engineers, and mathematicians who need to find rates of change, slopes of tangent lines, or analyze function behavior. The calculator handles complex polynomial expressions and provides accurate results, saving time on manual differentiation and reducing calculation errors in homework, research, or professional applications.
How to use
Enter your polynomial function using standard mathematical notation (e.g., 3x^2 + 2x - 1). Input the specific point where you want to evaluate the derivative. Click calculate to get both the derivative function and its numerical value at your chosen point.
Frequently asked questions
What polynomial formats does the calculator accept?
The calculator accepts standard notation like 3x^2 + 2x - 1, supporting positive and negative coefficients with various polynomial degrees.
Can I find derivatives of non-polynomial functions?
This calculator is specifically designed for polynomial functions. For trigonometric, exponential, or logarithmic functions, use a general derivative calculator.
What does evaluating at a point mean?
Evaluating the derivative at a point gives you the instantaneous rate of change or slope of the tangent line at that specific x-value.