Determine the point(s) at which the graph of
the function has a horizontal tangent line. MEDAL WILL BE REWARDED!!!
f(x)=x^2/(x^2+1)

Question

Determine the point(s) at which the graph of
the function has a horizontal tangent line. MEDAL WILL BE REWARDED!!!
f(x)=x^2/(x^2+1)

hartnn · Answer

horizontal lines have 0 slope , right ?
so, just differentiate f(x) and equate 
f'(x) = 0

anonymous · Answer

So my horizontal line is 0,0?

hartnn · Answer

f'(c) gives the slope of tangent at point c 
but the tangent we need is horizontal 
so, its slope = 0 
thats why we put f'(x) = 0

anonymous · Answer

yes so my final answer is f'(x) is 0,0?

hartnn · Answer

ohh, 
let me calculate ...

anonymous · Answer

I think its either 0,1 or 0,0

hartnn · Answer

i get x = 0 too 
so, f(0) = 0 
and yes, so the point is (x,f(x)) = (0,0) is correct :)

anonymous · Answer

awesome thank you :) More questions to come!

hartnn · Answer

welcome ^_^