Mathematics using Maple -Post#11

Limits, Derivatives and Integrals of a function.

The subject of Calculus depends on the three important operations, namely, the ‘Limits’, the ‘Derivatives’ and the ‘Integrals’ of a given function. These three operations are just introduced in this post, with many details and applications introduced in future posts as necessary.

Limits of any given function

The ‘limit(f, x=v, dir)’ function attempts to compute the limiting value of a given function ‘f’ as the variable ‘x’ approaches a given value, ‘v’. The direction of the approaching limit is specified as ‘left’ or ‘right’ for the parameter ‘dir’. if the ‘limit’ command is specified as ‘Limit’ (capital ‘L’ used), then the specified limit within the parenthesis is shown as unevaluated. View below a few examples of the ‘limit’ and ‘Limit’ commands:

Maple-limit-ScrenShot#1-for-Post#11

Maple-limit2-ScrenShot#2-for-Post#11

Derivative of any given function

The ‘diff’ command in Maple computes the derivative of a given function ‘f(x)’ with respect to the variable ‘x’. The most frequent use diff command is ‘diff(f(x), x)’. The ‘diff’ command is also used to determine the partial…