Differential Calculus

Differential Calculus: An Introduction

Differential calculus is a subfield of calculus concerned with the study of rates at which quantities change. The primary object of study in differential calculus is the derivative.

Derivative:

The derivative of a function provides the rate of change of the function's output with respect to its input. In simple terms, it measures how sensitive a function is to small changes in its input.

Mathematically, if ( f(x) ) is a function, its derivative, ( f'(x) ), at a point ( x ) is given by:

The notation ( f'(x) ) is read as "f prime of x."