Math & Algebra Tool
Derivative Calculator
Calculate slope of f(x) = cx².
Simple Polynomial Derivative
f(x) = x²
Frequently Asked Questions
What is a derivative?+
A derivative represents the instantaneous rate of change of a function. Geometrically, it corresponds to the slope of the tangent line to the function's graph at any given point.
What is the Power Rule?+
The Power Rule is a quick way to find the derivative of functions like x^n. It states that if f(x) = x^n, then f'(x) = nx^(n-1).
What is the derivative of a constant?+
The derivative of any constant number (like 5, or π) is always 0. This is because a constant value never changes, so its rate of change is zero.
How is this useful in physics?+
derivatives are used everywhere in physics. Velocity is the derivative of position (how fast position changes), and acceleration is the derivative of velocity.
What does f'(x) mean?+
The notation f'(x) (read 'f prime of x') is Lagrange's notation for the first derivative of the function f with respect to x.
Can standard calculators find derivatives?+
Most scientific calculators can calculate the numerical value of a derivative at a specific point, but symbolic differentiation (finding the formula) usually requires computer algebra systems (CAS) or tools like this.