- #1
nobahar
- 497
- 2
Hey guys,
I've just recently started calculus, and just trying to get to grips with it.
I'll use an example for my question; if [tex]y=e^x[/tex], then the source suggests rearranging to [tex]\ln y=x[/tex], the differentiating with respect to x yields [tex]\frac{\delta}{\delta{x}} (ln\ y)=1[/tex].
I understand that for my original function I wouldn't be able to find [tex]\delta{y}[/tex], so it's rearranged, but what are the consequences of this? As it appears that the requirement is to DIFFERENTIATE BOTH SIDES. Do I always do this when the equation has been altered? I can't piece togeather why this is happening. Hopefully someone can help.
Thanks.
Nobahar.
I've just recently started calculus, and just trying to get to grips with it.
I'll use an example for my question; if [tex]y=e^x[/tex], then the source suggests rearranging to [tex]\ln y=x[/tex], the differentiating with respect to x yields [tex]\frac{\delta}{\delta{x}} (ln\ y)=1[/tex].
I understand that for my original function I wouldn't be able to find [tex]\delta{y}[/tex], so it's rearranged, but what are the consequences of this? As it appears that the requirement is to DIFFERENTIATE BOTH SIDES. Do I always do this when the equation has been altered? I can't piece togeather why this is happening. Hopefully someone can help.
Thanks.
Nobahar.