Finding the derivatives by using Maple

Now you know some basic shortcuts to find Let's try to use Maple Forum Interface (MFI) to convince ourselves that indeed if we go through the definition of finding derivative at one point, we shall get the answer too. Note. You should practice the following problem, you will be asked to do a similar problem in the take home test.

Consider the function f(x) = (5/3)*(x) ^3/4 , can you use short cut to compute f'(x) .

Use following Maple command to find f'(x).

f:=proc(x) (5/3)*x^(3/4) end;

f(a+h)-f(a);

(f(a+h)-f(a))/h ;

simplify((f(a+h)-f(a))/h) ;

limit((f(a+h)-f(a))/h, h = 0);

diff(f(x),x);

The last line above is a short cut to find derivative of a function.