## calculus130 Group Title calculate step by step, if existent, via l'Hopital rule: lim-->2 ln(x^2-3)/x^2-4 one year ago one year ago

1. myininaya Group Title

derivative of top/ derivative of bottom

2. calculus130 Group Title

i have difficulty with finding the derivative of top ln(x^2-3)

3. nubeer Group Title

Hint ln(x+1) [1/(x+1) ] . d/dx (x+1)

4. calculus130 Group Title

well, what will be the answer if i go step by step?

5. nubeer Group Title

i dont know.. why dont you solve and put steps here .. if you do something wrong i wil let u know

6. richyw Group Title

$\frac{d}{dx}\left[\ln\left(x^2-3\right)\right]$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.

7. calculus130 Group Title

thank you so much... i was confused whether i can use chain or quotient rule in l'hopital or not

8. richyw Group Title

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)