Question

f(x)=x√1-x 0 < x < 1,Find the maximum and minimum value of the given function.

Answer 1

Dear Student:

F(x)=x√1-x ,0 < x < 1

For,maximum and minimum  

We will find df/dx and then equate to zero.

And then again proceed for second derivative and see it is negative or positive.

If it is positive then f will be minimum

And if negative then f maximum

See the attachment: