How to Solve Calculus Problems Quickly and Efficiently?

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The discussion centers on seeking help with a calculus problem, specifically part (d) of a set of questions. Participants emphasize the importance of showing work when asking for assistance, as it helps others understand the problem better. There is a mention of needing to differentiate inverse functions and a reference to a Wikipedia page for guidance. The original poster expresses frustration with typing out equations and prefers to share an image instead. The conversation highlights the balance between speed and thoroughness in solving calculus problems.
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Calculus Problem!

prm-1_zps25a60cf1.jpg

need help with d
 
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dth257 said:
[ IMG]http://i212.photobucket.com/albums/cc99/munteo/prm-1_zps25a60cf1.jpg[/PLAIN]
need help with d
Hello dth257. Welcome to PF !

What is f '(x) ?

What is f-1(0) ?
 
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I'm sorry i don't know what you meant. Are you asking questions or showing me the way to do it?
 


dth257 said:
prm-1_zps25a60cf1.jpg

need help with d

Show your work. Forum rules require you to do some work on your own first, before seeking help.
 


dth257 said:
I'm sorry i don't know what you meant. Are you asking questions or showing me the way to do it?
You said you needed help with part (d), so I assumed you know how to do parts a, b, c .
 


I'm sorry for misunderstand.
a. f(1)= 0
b. f'(1)= sqrt(5)/5=.447214
 


dth257 said:
I'm sorry for misunderstand.
a. f(1)= 0
b. f'(1)= sqrt(5)/5=.447214

Showing your work means not only giving the answers but trying to explain how you got them. What about c)? Once you've got that there is a formula for differentiating inverse functions. See http://en.wikipedia.org/wiki/Inverse_functions_and_differentiation Is that the part you are missing?
 
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I'm sorry I'm a newbie in here. I don't know how to type these mathematical equations in the forum. It would take me few hours to just type all of the work down.( that why i posted the picture instead of type them out) So i just gave out the answer. That's the fastest way i can do.
 


dth257 said:
I'm sorry I'm a newbie in here. I don't know how to type these mathematical equations in the forum. It would take me few hours to just type all of the work down.( that why i posted the picture instead of type them out) So i just gave out the answer. That's the fastest way i can do.

Fastest isn't best. Any thoughts about c)?
 

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