SOLUTION: 6. g(w) = (w^8 + 3)(5w^2 + 3w + 1)
7. (w^3 + 4)(w^3 − 1)
8. f(x) = 2x+1 / x−1
9. y = (2√x − 1)(4x + 1)^−1
For problems 11-12, find derivatives b
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Question 1048734:  6. g(w) = (w^8 + 3)(5w^2 + 3w + 1)
7. (w^3 + 4)(w^3 − 1)
8. f(x) = 2x+1 / x−1
9. y = (2√x − 1)(4x + 1)^−1
For problems 11-12, find derivatives by two different methods.
10.  y = (t^2 + 7t)(3t − 4)
11.  y = 4s^3−8s^2+4s / 4s
12.  Evaluate the following limit. limx→0 sin3x / sin4x
For problems 13-15, find dy / dx for the following functions.
13. y = 5x^2+cosx
14. y =1−sinx / 1+sinx
15. y=secxtanx
 
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
 
\left(3t\ -\ 4\right)) 
Method 1: Multiply the two binomials and then take the derivative of the resulting 3rd degree polynomial by using the Sum and Power rules.
Method 2: Use the product rule:
If  where
 where  and
 and  are functions of
 are functions of  , then
, then  
John

My calculator said it, I believe it, that settles it

 
 
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