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Given f (4) = 4, f' (4) — 10, g (4) = −1, and g′ (4) = 6, find the values of the following. (a) (b) (fg)' (4) Number (4)«)- Number

Given f (4) = 4, f' (4) — 10, g (4) = −1, and g′ (4) = 6, find the values of the following. (a) (b) (fg)' (4) Number (4)«)- Number

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Given f (4) = 4, f'(4) = 10, g (4) = -1, and g' (4) = 6, find the values of the following. (a) (b) (fg)' (4) = Number (§)'(4) - Number
Transcribed Image Text:Given f (4) = 4, f'(4) = 10, g (4) = -1, and g' (4) = 6, find the values of the following. (a) (b) (fg)' (4) = Number (§)'(4) - Number
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Step Given: PERT ƒ (9¹f¹ (4) = 10g (4) = -1g' (4) = 6 To Find: =) (10)·(0) 0) (0) a Step 2 a) (fg)'(4) = ƒ(4) .g' (4) + ƒ' (4).g (4) Step 3 *) : (+)- b ¸ 9 (4) ·ƒ (4) ~ƒ(4) 0' (*) g(4)* ( uv product rule) -1 (10) - (4) (6) (-1)² WAS THIS HELPFUL? = -10-24 1 = 4 (6) + 10 (-1) = -34Theref
Transcribed Image Text:Step Given: PERT ƒ (9¹f¹ (4) = 10g (4) = -1g' (4) = 6 To Find: =) (10)·(0) 0) (0) a Step 2 a) (fg)'(4) = ƒ(4) .g' (4) + ƒ' (4).g (4) Step 3 *) : (+)- b ¸ 9 (4) ·ƒ (4) ~ƒ(4) 0' (*) g(4)* ( uv product rule) -1 (10) - (4) (6) (-1)² WAS THIS HELPFUL? = -10-24 1 = 4 (6) + 10 (-1) = -34Theref
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