Category: Courses

Mathematics for EngineeringYear 1

Mathematics Fundamentals: Differentiability, differential of a function and integral

If function y=f(x) has a derivative in the point x:  lim∆x→0 ∆y∆x=f' (x) Let's introduce the function: α(x)=∆y∆x-f' (x)=f(x+∆x)-f(x)∆x-f' (x) Function α(x) exists with the…