The forum discussion centers on Mubashir's attempt to determine the gradient of an unknown function without traditional differentiation methods. He proposes a formula involving trigonometric functions and secant lines, specifically using the equation dy/dx = 10^10*tan(½(tan-1((f(x+1)–f(x))/10^10)+tan-1((f(x)–f(x-1))/10^10))). However, other participants point out that his method is fundamentally flawed, as it relies on averaging angles rather than directly calculating slopes, leading to inaccuracies. The consensus is that traditional differentiation methods yield more precise results, especially for polynomial functions.
PREREQUISITESStudents of calculus, mathematicians, and anyone interested in understanding alternative methods for calculating derivatives and their limitations.
mubashirmansoor said:Well, We do know the height