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#1 2008-02-06 02:32:38
- natanson.meital
- Member
- Registered: 2008-02-06
- Posts: 3
root function analysis
Here is the function
.the tnagent equation of the function at
is
A. Find a and b.
B. Find the function definition range.
C. Find the minimum & maximum points.
We tried to derive the function but we didn't succeed.
Please help us to finish the question.
Thanks.
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#2 2008-02-06 03:16:21
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: root function analysis
It's easy enough to differentiate a + bx².
Then, to differentiate √(a + bx²), you use that result and the chain rule.
Then then, to differentiate x√(a + bx²), you use that result and the product rule.
I'm not sure how you could use the information given to find a and b though. It seems like you've got two unknowns to find, but only one equation to find them with.
Why did the vector cross the road?
It wanted to be normal.
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#3 2008-02-09 10:04:47
- natanson.meital
- Member
- Registered: 2008-02-06
- Posts: 3
Re: root function analysis
Hi!
I know that there is a solution to this problem.
I know that there has to be a system of 2 equations.
One of them I have to get from comparing the equations of the function and the tangent at
The second one, I have to get from the comparing the derivations.
But, yet, I didn't succeed.
Can you help me please?
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