anonymous
  • anonymous
Find the derivative of the function. g(x) = (5 + 3x)4(5 + x - x2)5
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
To clarify, is this the proper equation? \[g(x) = (5+3x)^{4}(5+x-x^2)^5\]
anonymous
  • anonymous
yes!
anonymous
  • anonymous
Alright, I'll get to work. Make sure you're accounting for the product rule, AND the chain rule. This is quite a problem here.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
thanks so much, i'm lost in it
anonymous
  • anonymous
Start with \[(5+3x)^4\] and \[(5+x-x^2)^5\] individually. Find their derivatives. You need to use the chain rule.
anonymous
  • anonymous
ok
anonymous
  • anonymous
Sorry, doing chemistry stuff at the same time. Your answers should be \[12(5+3x)^3\] and \[5(5+x-x^2)^4 \times -2x+1\] which simplifies to: \[(-10x-5)(5+x-x^2)^4\]
anonymous
  • anonymous
I'm sorry I made a mistake. the second equation's derivative is \[(-10x+5)(5+x-x^2)^4\]
anonymous
  • anonymous
Using the product rule (h x j)' = h'j + hj' g' = \[g' = [12(5+3x)^3 \times (5+x-x^2)^5] + [(5+3x)^4 \times (-10x+5)(5+x-x^2)^4]\] I'm sure that you can simplify this further. Have at it, and keep practicing this. Wading through these difficult dx/dy problems is key :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.