Please help with derivatives question!!

Question

softballgirl372015 · Answer

I need help with letter d. I thought that I could just plug in the values that are given for u and v, but the answers give a different answer. I was wondering if it is possible to distribute the derivative.

amistre64 · Answer

what do you know about implicit derivatives?

softballgirl372015 · Answer

I've never heard of that. I am just learning about product rule and quotient rule right now.

amistre64 · Answer

the derivative of a sum is the sum of derivatives ... so its looks like, or mimics, a distribution process.  its not the same thing, but as far as what it looks like ... yeah its fine to say that

softballgirl372015 · Answer

Okay. I understand what you are saying. Is that concept called implicit derivatives?  And also, by so called distributing the derivative, will that work every time for problems like these?

amistre64 · Answer

implicit is more of something related to chain rule ...

but to me all derivatives are the same process.  they just teach it in a bad manner

amistre64 · Answer

[3u - 2v + 2uv]'

[3u]' - [2v]' + [2uv]'

3[u]' - 2[v]' + 2[uv]'

3[u]' - 2[v]' + 2[uv'+u'v]

softballgirl372015 · Answer

We started learning the chain rule today but I was so confused! LOL. I have to Youtube it later to better understand the concept. Hahaha

softballgirl372015 · Answer

Ohhh I get it. Thanks so much for your help! I wish you taught my Calc class! :)

amistre64 · Answer

3[u]' - 2[v]' + 2[uv'+u'v]

subbing in we get:

3[-4] - 2[2] + 2[3(-2)+4(1)]

amistre64 · Answer

good luck ;)  practice helps, and ive had lots of practice