anonymous
  • anonymous
Let f(x)=arctan(√4x−1). Find f′(x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
do you mean \[\arctan(\sqrt{4x-1})\] or \[\arctan (\sqrt{4x}-1)\]
anonymous
  • anonymous
The first one.
experimentX
  • experimentX
simplify 1/(1+4x+1) * 1/2* 1/sqrt(1+4x) * 4

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roadjester
  • roadjester
\[d/du \tan^{-1} u=u'/(1+u^2)\]
PaxPolaris
  • PaxPolaris
@experimentX is right just replace 1+4x with 4x-1\[{1\over(4x-1+1)} * \frac12* {1 \over \sqrt{4x-1}}* 4\]
roadjester
  • roadjester
If you do a u-substitution and make \[u=\sqrt{4x-1}\], what I wrote will make more sense.
experimentX
  • experimentX
Oo ... right right ... must be sleeptyping
roadjester
  • roadjester
@PaxPolaris How did you write the fraction?
PaxPolaris
  • PaxPolaris
{a \over b} or \frac {a} {b}
PaxPolaris
  • PaxPolaris
right click --> Show math as --> Tex commands to see how it's written

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