SOLUTION: find the points on the graph of f(x)= sqrt(1+x) with tangent lines parallel to y=(1/2)x-1

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Question 1051095: find the points on the graph of f(x)= sqrt(1+x) with tangent lines parallel to y=(1/2)x-1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines means they have the same slopes.
The value of the derivative of a function is equal to the slope of the tangent line at that point.
So find the derivative of the function,
dy%2Fdx=%281%2F2%29%281%2Bx%29%5E%28-1%2F2%29
and set it equal to the slope of the line,m=1%2F2
%281%2F2%29%281%2Bx%29%5E%28-1%2F2%29=1%2F2
%281%2Bx%29%5E%28-1%2F2%29=1
1%2Bx=1
x=0
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