SOLUTION: If y=x/x+1,dy/dx=?

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Question 1143789: If y=x/x+1,dy/dx=?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

Use the formula for differentiating of a ratio of two functions


    (u/v)' = (u'v - uv')/(v^2).


Take u(x) = x, v(x) = x+1.


Happy differentiating, dear Calculus student (!)



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


In many cases, finding the derivative is easier if you write the given function in a different form. It's a technique you might want to look at to see if it works for you.

In this example,



Now finding the derivative only uses the power rule:

df%2Fdx+=+-%28-1%2F%28x%2B1%29%5E2%29+=+1%2F%28x%2B1%29%5E2