f(x)= ln( 2^x x^2)
find the derivative

Question

f(x)= ln( 2^x x^2)
find the derivative

anonymous · Answer

$f(x)=\ln(2^x\cdot x^2)$, right? You just use chain rule followed by product rule, and you can rewrite the $2^x$ as $e^{x\ln 2}$.

alexwee123 · Answer

ohhh the natural log part just confused me :) 
thx :D

anonymous · Answer

No worries. Actually I just realized, to make it easier, you can simplify it first using logarithm rules. That way you don't have to use product rule at all. You can end up with just $x\ln2+2\ln x$, I think.

anonymous · Answer

Which is very easy to derive :)

alexwee123 · Answer

haha ya  thx XD
but my teacher wants me to practice on the product rule cuz i ll be using it a lot more later

anonymous · Answer

Yes, I agree with your teacher, practicing the product rule is a good idea. Also practice the quotient and chain rules. You should know them like the back of your hand :)

alexwee123 · Answer

aight thx for ur help :)