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Please check this differentiation result

  • Thread starter cabellos
  • Start date
  • #1
77
0
I have to differentiate (e^-x) ((1-x)^1/2)

my answer is:

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

is this correct?

thankyou
 

Answers and Replies

  • #2
195
1
In the second part I belive the -1/2 term is outside the underroot
 
  • #3
cristo
Staff Emeritus
Science Advisor
8,107
73
I have to differentiate (e^-x) ((1-x)^1/2)

my answer is:

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

is this correct?

thankyou
You want to differentiate this: [itex]e^{-x}(1-x)^{1/2}[/itex]? You have used the product rule correctly, but the second term is incorrect. The second term is [tex]e^{-x}\frac{d}{dx}(1-x)^{1/2}=e^{-x}(1-x)^{-1/2}\cdot(-\frac{1}{2})[/tex]

Note that, when using the chain rule on the parentheses, whatever's inside the parentheses does not change.
 

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