Question 207055: Hi all, I was hoping to get some help with the following problem.
Find ∆y/∆x (given the following information)
b) y = sqrt(x), x=9, ∆x= 0.9
Any help would be great.
-Nick.
Found 2 solutions by HyperBrain, ikleyn:
Answer by HyperBrain(694)   (Show Source):
You can put this solution on YOUR website! Sorry, I don't know how to input the delta sign.
x=9 so y=sqrt(9)=3
since x=9, delta_x= 0.9, then x + delta_x=9.9
y + delta_y=sqrt (x + delta_x)= sqrt (9.9)=3.146 (approx.)
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delta_y=(y + delta_y)-y=3.146-3=0.146
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so, delta_y/delta_x=0.146/0.9=0.0162
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Answer by ikleyn(53937)  (Show Source):
You can put this solution on YOUR website! .
Hi all, I was hoping to get some help with the following problem.
Find ∆y/∆x (given the following information)
b) y = sqrt(x), x=9, ∆x= 0.9
Any help would be great.
-Nick.
~~~~~~~~~~~~~~~~~~~~~~~
Calculations and the answer in the post by @HyperBrain are incorrect.
I came to bring a correct solution.
I will use x instead of ∆ for easy writing.
x=9 so y=sqrt(9)=3
since x=9, delta_x= 0.9, then x + delta_x=9.9
y + delta_y=sqrt (x + delta_x)= sqrt (9.9)=3.146 (approx.)
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delta_y=(y + delta_y)-y=3.146-3=0.146
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so, delta_y/delta_x=0.146/0.9=0.162
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Solved correctly.
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