If f(x)=3x-²-5x¯³+1 and g(x)=√√x, then derivative of (gof)(x) is: a. b. C. 1/1/23 1 2 3x ² 5x 3 1 d. none 1/13 (3x-2-5x-3-1) 3 6x 15x (3x²5x³+1)(-6x³+15x) 4 1 ²(-6x³+15x-4) - ²7 (−6x³+15x²

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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If ƒ(x)=3x¯²–5x¯³+1 and g(x)=√x, then derivative of (gof)(x) is:
a.
1
C.
3x
12
2
5x 3
d. none
1
1
3
b.
1/2 (3x-²-5x³+1) ²¹ (-6x¯³+15x-4)
3
6x 15x
1
4
-3
(3x-2-5x-3-1) ²(−6x−³+15x¯4)
Transcribed Image Text:If ƒ(x)=3x¯²–5x¯³+1 and g(x)=√x, then derivative of (gof)(x) is: a. 1 C. 3x 12 2 5x 3 d. none 1 1 3 b. 1/2 (3x-²-5x³+1) ²¹ (-6x¯³+15x-4) 3 6x 15x 1 4 -3 (3x-2-5x-3-1) ²(−6x−³+15x¯4)
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