help with two problems PLEASE

integragirl

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Apr 13, 2006
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Can someone help me please! I'm desperate, I'm stuck on a derivative and a curve problem, and it's due Monday. What is the derivative for y=(tanx-2)^2/secx and the scond one states: find the point on the curve e^y=x-1 where the tangent line has slope 1
 
integragirl said:
Can someone help me please! I'm desperate, I'm stuck on a derivative and a curve problem, and it's due Monday. What is the derivative for y=(tanx-2)^2/secx and the scond one states: find the point on the curve e^y=x-1 where the tangent line has slope 1
On the first) Is that tan(x-2) or (tan(x) - 2)? In either case, why is it difficult to apply the quotient rule?

On the Second) Implicit differentiation suggests (e^y)*y' = 1 ==> y' = e^(-y)
e^y = x-1 ==> e^(-y) = 1/(x-1) Where are you stuck?
 
I don't mean to sound ignorant but I hate calculus and I tend to overthink seemingly easy problems
 
Hey, if you're stuck you're stuck. I'm just asking where and why.

Did you get them?
 
yes, I got them, I got stuck on the chain rule part of the first one, and I didn't really know where to begin for the second one. Thanks for your help!
 
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