Maple 19 SVDiff Calc Workbook Solutions44.html

f(x) = `^`(x, sin(x)); -1

restart;

with(Student[Calculus1]); -1

f := proc (x) options operator, arrow, function_assign; `^`(x, sin(x)) end proc;

Typesetting:-mprintslash([f := proc (x) options operator, arrow, function_assign; `^`(x, sin(x)) end proc], [proc (x) options operator, arrow, function_assign; `^`(x, sin(x)) end proc])

plot(f(x), x = 0 .. 10);

Plot_2d

ExtremePoints(f(x), 0 .. 10);

[0, .3522153993, 2.127615825, 4.842558340, 7.914977694, 10]

List1 := [0, .3522153993, 2.127615825, 4.842558340, 7.914977694, 10]; -1;

List1

map(f, List1);

[1, .6976840988, 1.898286456, .2092767216, 7.884585439, `^`(10, sin(10))]

InflectionPoints(f(x), x = 0 .. 10, numeric);

[1.395288666, 2.916095860, 7.258616748, 8.576145756]

List2 := [1.395288666, 2.916095860, 7.258616748, 8.576145756]; -1;

List2

map(f, List2);

[1.388167079, 1.270355626, 5.161057841, 5.015577534]