A community for students.
Here's the question you clicked on:
 0 viewing
MTALHAHASSAN2
 one year ago
Use the product rule and the power of a function rule to differenite the following functions. Do not simplify.
b) (3x^2+4)(3+x^3)^5
MTALHAHASSAN2
 one year ago
Use the product rule and the power of a function rule to differenite the following functions. Do not simplify. b) (3x^2+4)(3+x^3)^5

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This can be solved using the product rule Its just 2 function multiplying together: f(x) and g(x) Lets call \[f(x)=3x^2+4\] \[g(x)=(3+x^3)^5\] Try to find the derivative of both by yourself f'(x)=? g'(x)=? then use this product rule formula f'(x)g(x)+f(x)g'(x)

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0y=(3x^2+4)(3+x^3)^5 =2(3) (3+x^3)^5 + (3x^2+4) 15(3+x^2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x) = (3x^2+4)(3+x^3)^5\]\[f(x) = 3x^2+4 ~,~ g(x) = (3+x^2)^5\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Derivative of 3x^2 is not 6 Derivative (3+x^3)^5 is not 15(3+x^2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{d}{dx} (f(x)) = \frac{d}{dx}(3x^2+4) \cdot (3+x^3)^5 +\frac{d}{dx}((3+x^3)^5) \cdot (3x^2+4)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You forgot the x in the first one You forgot the x^2 in the second one.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Remember to apply the chainrule.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{d}{dx}(f(g(x)) = f'(g(x)) \cdot g'(x)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0He did apply the chain rule. He forgot the x on both cases but not the numbers.

MTALHAHASSAN2
 one year ago
Best ResponseYou've already chosen the best response.0=2(3x)(3+x^3)^5+(3x^2+4)5(3x^2)(3+x^3)^4 =6x(3+x^3)^5+15x^2(3x^2+4)(3+x^3)^4
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.