Learning Guide Learning Guide

3.8 The Maple Packages • 83The Student Calculus1 Package (Single Variable)The Student[Calculus1] package helps you step through differentiation,integration, and limit calculus computations. As an example, consider thisproblem: Given the function 4 ∗ x 2 , find its derivative.> with(Student[Calculus1]):> infolevel[Student] := 1:To view a list of all the commands that Maple is loading, replace the colonat the end of the command with a semicolon.> Diff(4*x^2, x);ddx (4 x2 )Use the constantmultiple rule.> Rule[constantmultiple](%);Creating problem #1ddx (4 x2 ) = 4 ( ddx (x2 ))Use the power rule.> Rule[power](%);ddx (4 x2 ) = 8 xConsider the following integration example. Integrate x ∗ cos(x) + xfrom x = 0 to x = π.> Int(x*cos(x) + x, x=0..Pi);∫ πx cos(x) + x dx0Use the sum rule.> Rule[sum](%);Creating problem #2