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

Algebra ->  Trigonometry-basics -> 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      Log On


   

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) About Me  (Show Source):
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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 and are functions of , then

John

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