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Question: How do I find the interior points where f' does not exist in Maple?

Question:How do I find the interior points where f' does not exist in Maple?

ravenHound 25 Maple
homework
May 18 2018
0

The function given is f(x)= x3/4-sin x +1/2, interval=[0,2*pi]

a) plot the function over the interval to see its general behaviour.

f := x -> x^(3/4)-sin(x)+1/2;
plot(f(x), x=0..2*Pi);

 

b)FInd the interior points where f'=0.You may want to plot the f' as well.

d1:=D(f)(x);

plot (d1, x=0..2*Pi);

fsolve(d1=0, x);

       5.231279862

 

c) Find the interior points where f' does not exist.I don't know how to show question c) in Maple. Please help?plot(x^(3/4)-sin(x)+1/2, x=0..2*Pi)    plot(3/4*x^(-1/4)-cos(x) , x=0..2*Pi)

When i do this,

d2:=solve(d1=infinity,x);
         

Is this the correct way to shoe f' does not exist? How to I get the numerical value of the RootOf....?
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