SOLUTION: Describe the x-values at which the function is differentiable using interval notation {{{ y= (x^2)/(x^2+25) }}}

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Question 1123187: Describe the x-values at which the function is differentiable using interval notation
+y=+%28x%5E2%29%2F%28x%5E2%2B25%29+
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%281%2C3%2C+y%2C%22%22=%22%22%2C+%28x%5E2%29%2F%28x%5E2%2B25%29+%29%29+ has the graph:

graph%28400%2C400%2A2%2F5%2C-5%2C5%2C-2%2C2%2C%28x%5E2%29%2F%28x%5E2%2B25%29%29

It is differentiable everywhere for there are no vertical asymptotes,
or any points of discontuity.  The derivative is







which is defined everywhere.  "Everywhere" means 
"all real numbers" and the interval notation for
"all real numbers" is from negative infinity to
positive infinity" and is written:

%28matrix%281%2C3%2C-infinity%2C%22%2C%22%2Cinfinity%29%29

Edwin