This week in calculus wasn't too hard. We learned first and second implicit derivatives. Also we learned related rates and angle of elevations. We also took a test on Tuesday on first and second implicit derivatives, at least I think it was tuesday. anyways, related rates are a breeze. they are kind of like optimzation, but not as difficult. i have no problem with those: here are the steps.
1. identify all the variables/equations
2. identify what you are looking for
3. make a sketch and label (extra points!)
4. write out the equation
5. take derivative of both sides (remember to put dy/dt and dx/dt behind your derivatives)
6. plug in all variables given
also, implicit derivatives are very easy.
1. make sure the problem has x & y values
2. take the derivative of both sides *noting the y-values with dy/dx*
3. solve for dy/dx.
and to solve for dy^2/d^2x, you just take the derivative of your first derivative.
also, angle of elevations. to tell you the truth, i forgot to bring my notebook home this weekend, so i don't really know how to explain it. we just learned it on friday, and it kinda went out of my memory. it was kind of like related rates, but more difficult. i didn't really catch on to them as good as i did with related rates, im not sure why. hopefully it will get easier, if anyone has a general idea of what an angle of elevation is, can you please help?
Subscribe to:
Post Comments (Atom)
angle of elevation problems aren't too much harder than related rates.
ReplyDeletereally you just need to identify an equation to use...and take the derivative of it.
like
tan(n) = x/30
or
tan(n)=30/x
And then take the derivative accordinly, solving for your dn/dt or d(theta)/dt.