Please check my solution

  • Thread starter cabellos
  • Start date
  • #1
77
1
I have to differentiate (e^-x) ((1-x)^1/2) twice:

The first time i differentiate i get

(-e^-x) ((1-x)^1/2) + (e^-x) ((1-x)^-1/2) (-1/2)

then differentiating this i get

[(e^-x) ((1-x)^1/2)] - [(e^-x) ((1-x)^-1/2) (-1/2)] + [(-1/2e^-x) (1/2(1-x)^3/2) + ((1-x)^-1/2) (1/2e^-x)]

are these correct?

thankyou for checking
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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If you want someone to check something for details, you should make sure you've shown what you want checked clearly and unambiguously. What does this mean '(1/2(1-x)^3/2)'? Is it (1/2)*(1-x)^(3/2)), or ((1/(2(1-x))^3)/2) etc etc. That said there should be terms with (1-x) to the power of 1/2, -1/2 and -3/2 (not 3/2). Other than that ok, I think.
 
  • #3
223
0
First derivative is OK. Before differentiating for the second time please write the first derivative nicer by taking (1-x) out of the first term and do some adding. I am sure that simplification will result.
 

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