A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Find (d^(2)y)/(dx^(2)) for the following function.
y=e^(4x^(2))
anonymous
 3 years ago
Find (d^(2)y)/(dx^(2)) for the following function. y=e^(4x^(2))

This Question is Closed

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.0So find the second derivative of the function.

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.0This requires that you use the chain rule.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[Find \frac{ d ^{2}y }{ dx ^{2} } for the following function. y=e ^{4x ^{2}}\]

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.0First, start by using chain rule. For the second derivative, you will be using product rule AND chain rule.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You want \[\frac{d}{dx}\left( \frac{dy}{dx}\right)\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0first derivative is \[8xe^{4x^2}\] by the chain rule second derivative requires the product rule

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Do you understand how Sat got that first derivative? c:

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1\[\large y'=8xe^{4x^2}\] So now you need to find the second derivative as was stated above. \(\large y''\) To differentiate this a second time, you'll need to apply the Product Rule, very similarly to the way we did it in the last problem! :)

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Fine fine fine D: I'll do the pretty colors like last time. Maybe that will help.

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1\[\huge y''=\color{royalblue}{\left(8x\right)'}e^{4x^2}8x\color{royalblue}{\left(e^{4x^2}\right)'}\]Product Rule setup for the second derivative. The second blue term should give you the same thing you got for the first derivative!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0omg, its that easy??? why am i overthinking this

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1What do you get for the first set of blue brackets?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0n the second is the 8x e ^4x^2

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1\[\huge y''=\color{orangered}{\left(8\right)}e^{4x^2}8x\color{orangered}{\left(8xe^{4x^2}\right)}\] Like that? Yay good job!
Ask your own question
Sign UpFind more explanations on OpenStudy
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.