If ƒ(x)=3x¯²–5x¯³+1 and g(x)=√x, then derivative of (gof)(x) is:a.1C.3x1225x 3d. none113b.1/2 (3x-²-5x³+1) ²¹ (-6x¯³+15x-4)36x 15x14-3(3x-2-5x-3-1) ²(−6x−³+15x¯4)

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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

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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.1: Techniques For Finding Derivatives

Problem 1E: Find the derivative of each function defined as follows. y=12x3-8x2+7x+5

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Question

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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