anonymous
  • anonymous
calculate step by step, if existent, via l'Hopital rule: lim-->2 ln(x^2-3)/x^2-4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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myininaya
  • myininaya
derivative of top/ derivative of bottom
anonymous
  • anonymous
i have difficulty with finding the derivative of top ln(x^2-3)
nubeer
  • nubeer
Hint ln(x+1) [1/(x+1) ] . d/dx (x+1)

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anonymous
  • anonymous
well, what will be the answer if i go step by step?
nubeer
  • nubeer
i dont know.. why dont you solve and put steps here .. if you do something wrong i wil let u know
richyw
  • richyw
\[\frac{d}{dx}\left[\ln\left(x^2-3\right)\right]\]You just need to use the chain rule\[\frac{1}{x^2-3}\cdot\frac{d}{dx}\left(x^2-3\right)=\frac{2x}{x^2-3}\]I already showed you how to check wolfram alpha first for step-by step solutions.
anonymous
  • anonymous
thank you so much... i was confused whether i can use chain or quotient rule in l'hopital or not
richyw
  • richyw
You can use whatever you want to figure out the derivatives. All that matters is the derivative exists (and of course you have an appropriate indeterminate form)

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