Derivative

Abstract Definition: For any smooth and differentiable mapping f:R->R, the derivative is an operator d/dx that takes f to df/dx, defined by the limit of the difference quotient f(x+h)-f(x)/h as h approaches 0.

Geometric Definition: The slope of the tangent line at any point of the graph of a function.

The Derivative of x^2 is 2x.

by setbender January 3, 2023

derivative

finds the slope of any function, particularly how fast my life is becoming worse

find the derivative of 3x
actually the derivative of my life’s goodness is -1928271718x^2887777

by 147852369/*-+.0 September 6, 2025