Differenciation Using Maple Homework Help


Most basic concepts of the calculus are the derivative and the integral. This should come as not surprise that Maple has utilities to symbolically compute both. It section we consider the derivative. Basic command is the

>diff(expression, variable);

See examples.

>diff(x^3+2*x,x);

 3x+2

>diff(t^2,t);

2t

Explain this 1.

>diff(x^3+2*x,t);

0

The Functions can also be used. Example, you might have

>f:=x->(x^4+5*x+1);

>diff(f(x),x);

 4x3+5

You can also find the second derivative. The command is here

>diff(f(x),x$2);

 12X2

The Higher order derivatives are just as easy to the compute using following general command

diff(f(x),x$k);

 is the order of the derivative to be determined is here. Similar command works for the whole expressions: diff(expression,x$k); You need not use the function; expression will do. It sometimes makes computations quicker and easier.

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