how would you find this and graph it out, if this were a question? (1 Viewer)

[Run hard@thehsc]

 

[5uckerberg]

Work out
and

then add them.

 

[jks22]

View attachment 35432

Find the derivative first

 

[5uckerberg]

Find the derivative first

How do you know that do you know what is part a.

 

[Run hard@thehsc]

How do you know that do you know what is part a.

It did say find the derivative for part (a) ig - but I do not know where to go one from there....

 

[ExtremelyBoredUser]

It did say find the derivative for part (a) ig - but I do not know where to go one from there....

This is how I thought abt the question;






The derivative is 0, this should imply that the function is constant for certain values. Clearly x =/ 0 as from tan^-1(x) so the domain would be split into x > 0 and x < 0.

What I'd do now is I would test for the domain x < 0 and x > 0 so I would test for x = 1 and x = -1. When you test x =1, you get pi/2 and x = -1 you get - pi/2. Since the derivative is 0, for x > 0, the function outputs pi/2 and likewise for x < 0, the function outputs - pi/2 and there is a discontinuity at x = 0.

So you would get two lines, y = pi/2 for x > 0 and y = -pi/2 for x < 0 with open circles for both pi/2, - pi/2 at x = 0.

 

[idkkdi]

Another way to figure out the graph. draw a right angle triangle with sides 1,x and r(1+x)^2. And then do a bit of reasoning.

 

[Run hard@thehsc]

@ExtremelyBoredUser @idkkdi @jks22 @5uckerberg got it - thanks!!!