Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
let f and g be differentiable functions such that
f(1)=2 f'(1)=3 f'(2)=4
g(1)=2 g'(1)=3 g'(2)=5
if h(x)=f(g(x)), then h'(1)=?
 one year ago
 one year ago
let f and g be differentiable functions such that f(1)=2 f'(1)=3 f'(2)=4 g(1)=2 g'(1)=3 g'(2)=5 if h(x)=f(g(x)), then h'(1)=?
 one year ago
 one year ago

This Question is Closed

zepdrixBest ResponseYou've already chosen the best response.0
So you have to kind of remember the DEFINITION of the chain rule for this one.
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
\[\large h(x)=f(g(x))\]The chain rule will produce this.\[\large h'(x)=f'(g(x))\cdot g'(x)\]
 one year ago

mlddmlnogBest ResponseYou've already chosen the best response.0
oh.. wait. i'll try to do it myself now. thank you for giving me a start! :)
 one year ago

mlddmlnogBest ResponseYou've already chosen the best response.0
here i the next one that's kind of similar to this. but i don't get. If \[f(x)=x ^{3}+3x ^{2}+4x+5\] and g(x)=5, then g(f(x))=?
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
So here is how a composition of functions works. Everywhere you see an x, you replace it with f(x). Example:\[\large \color{orangered}{f(x)=2x}\]\[\large g(\color{cornflowerblue}{x})=\color{cornflowerblue}{x}+3\] \[\large g(\color{orangered}{f(x)})=\color{orangered}{f(x)}+3\]
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
In the problem we've been given, the function \(g(x)\) is CONSTANT. There are no x's! So when we plug f(x) into it, it should give us the same answer, because g(x) is always 5. Always constant. You could do the composition thing I explained earlier and it might make sense. If you try to plug in f(x) for any x's in g, you'll see that you have nowhere to actually plug it in.
 one year ago

zepdrixBest ResponseYou've already chosen the best response.0
Is your teacher any good? Because so far I'm really really disliking these problems. None of them are straight forward. It just feels like he gave you a list of puzzles to work on.
 one year ago

mlddmlnogBest ResponseYou've already chosen the best response.0
haha yes. she loves these types of questions. _____ all of her questions are like this. making our brains explode. it literally takes me like 8 hours to do hw. it's insane.
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.