anonymous
  • anonymous
HELP BECOMING FAN AND MEDALS PLZ 1.) Find the derivative of f(x) = -3/x at x = -4 a) 3/4 b) 3/16 c) 16/3 d) 4/3 2.) Find the limit of the function by using direct substitution. lim x-->0 (x^2-2) a) 2 b) -2 c) doesnt exist d)0
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
@Miss.SweetiePie @ganeshie8
anonymous
  • anonymous
welshfella
  • welshfella
1. convert to negative power 3/x = 3x^-1 now to find the derivative use if y = ax^n derivative = anx^(n-1)

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Astrophysics
  • Astrophysics
To make it more clear, \[\frac{ d }{ dx } x^{n} = nx^{n-1}\] this is the power rule apply it, find the derivative using this then plug in x = -4.
welshfella
  • welshfella
here a = 3 and n = -1
Astrophysics
  • Astrophysics
And for 2, do as it says :)
Astrophysics
  • Astrophysics
\[\lim_{x \rightarrow 0} ~~ x^2-2\] implying x is going to 0, so that should be an obvious substitution.
anonymous
  • anonymous
for 1 i got 3/16 is that right?? @welshfella and number 2 i got B -2
welshfella
  • welshfella
1. derivative = 2 / x^2 when x = -4 deriavative = 3 / 16 yes correct
welshfella
  • welshfella
also b = (0)^2 - 2 = -2 yes
welshfella
  • welshfella
good job
anonymous
  • anonymous
thank u @welshfella
welshfella
  • welshfella
yw

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