3t-120. y5Tar.(t+3)122. gl)21. yx 2t2-224. f(x) = x{3x - 9)f(x) = x2(x - 2)25. y x/1 - x26. y =16-xxX28. y =27. у —2+4( क )x 522 230. MO)29. g(x)t3+23x2-21 - 2v1 v32. g(x)112x+331. f(v) =34. g(x) = (2 +(2+33. f(x) = ((x2 + 3)5+ x)x36. g(t) I35. f(x) = 2 + 2+the utility to gCAS In Exercises 37-42, use a computer algebra system t

Question
Asked Oct 17, 2019

Number 29.

Find the derivative of the function.

I'm confused with the simplification part at the end when you have the long numerator.

Thanks!

3t-1
20. y
5
Tar.
(t+3)
1
22. gl)
21. y
x 2
t2-2
24. f(x) = x{3x - 9)
f(x) = x2(x - 2)
25. y x/1 - x
26. y =
16-x
x
X
28. y =
27. у —
2
+4
( क )
x 52
2 2
30. MO)
29. g(x)
t3+2
3x2-2
1 - 2v
1 v
32. g(x)
11
2x+3
31. f(v) =
34. g(x) = (2 +(2+
33. f(x) = ((x2 + 3)5+ x)
x
36. g(t) I
35. f(x) = 2 + 2+
the utility to g
CAS In Exercises 37-42, use a computer algebra system t
help_outline

Image Transcriptionclose

3t-1 20. y 5 Tar. (t+3) 1 22. gl) 21. y x 2 t2-2 24. f(x) = x{3x - 9) f(x) = x2(x - 2) 25. y x/1 - x 26. y = 16-x x X 28. y = 27. у — 2 +4 ( क ) x 52 2 2 30. MO) 29. g(x) t3+2 3x2-2 1 - 2v 1 v 32. g(x) 11 2x+3 31. f(v) = 34. g(x) = (2 +(2+ 33. f(x) = ((x2 + 3)5+ x) x 36. g(t) I 35. f(x) = 2 + 2+ the utility to g CAS In Exercises 37-42, use a computer algebra system t

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check_circleExpert Solution
Step 1

Obtain the derivative of the...

X +5
g (x)
d
-2
dx22
2
d
(x2
+2)(x+s)-(x+5)
x+5
dx
=2
(x+2
(x+2)(1)-(x+5)(2x)
(x+2)
= 2
x 2
help_outline

Image Transcriptionclose

X +5 g (x) d -2 dx22 2 d (x2 +2)(x+s)-(x+5) x+5 dx =2 (x+2 (x+2)(1)-(x+5)(2x) (x+2) = 2 x 2

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Math

Calculus

Derivative