A derivative provides information about the changing connection between two variables. Let’s take an example of the independent variable ‘a’ and the dependent variable ‘b.’ The derivative formula may be used to calculate the change in the value of the dependent variable in relation to the change in the value of the independent variable expression. The derivative formula may be used to compute the slope of a line, the slope of a curve, and the change in one measurement with respect to another measurement. The slope of the tangent to at a particular position is the derivative of a function at that point. The slope of the graph of a function f (a) at a = a0, abbreviated f'(a0) or (a0), maybe naively defined as the derivative of f (a) at a = a0. As a result, the slope of the graph of f at a point a0 is defined as the slope of the tangent line to the graph at a0. The slope of the line tangent to the blue cross-section denoted as fx(a,b) represents the value of the partial with respect to x at a particular position (a,b). Change in z takes precedence over a change in x. In other words, it shows you how quickly z changes in relation to changes in x. I hope you enjoy the video. Do not forget to leave a thumbs up, share it with the people who need it, and HIT the SUBSCRIBE button. Also, post it in the comments if you have any suggestions. Good day. ------------------------------------------------------------------------------------------------------------------------------------------------ Instagram handle: / ranjit_sir_ Facebook: For collaboration/ Business inquiry: [email protected] Telegram channel: https://t.me/AllOverLearning4U -----------------------------------------------------------------------------------------------------------------------------------------------