anonymous
  • anonymous
what the derivative of 2arctan(2x) ?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[2( \frac{1}{1+4x^2})*2\]
anonymous
  • anonymous
4[1/(1+4x^2)]
anonymous
  • anonymous
can you explain a little better how you got that?

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anonymous
  • anonymous
\[{d \over dx }\tan ^{-1}x=/1+x^2\]
anonymous
  • anonymous
apply this formula for 2arctan(2x)
anonymous
  • anonymous
instead of x, here we have 2x, so by chain rule next we multiply with the derivative of 2x, that is 2
anonymous
  • anonymous
is it helpful?
anonymous
  • anonymous
yes how did you get 4x^2?
anonymous
  • anonymous
since instead of x,we have 2x.so (2x)^2=4x^2
anonymous
  • anonymous
ok?
anonymous
  • anonymous
ahhh gotcha...

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