1. ((x) = x' + 10

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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b. Find the derivative of h(x) = *+1
Solution:
Let f(x) = 3x + 1 and g(x) = 4x – 3 , then f'(x) = 3 and g'(x) = 4.
S'(x)g(x) – g'(x)f(x) 3(4x – 3) – 4(3x + 1) 12x – 9 – 12x – 4
q'(x) =
(g(x)
(4x - 3)2
(4х - 3)2
40x? + 30x – 20x?
16x2 - 24x +9
DIFFERENTIAL CALCULUS
34
Gideon D. Oray, LPT, MST
TEST YOURSELF
Find f'(x) for each function. Show your complete solutions in a separate sheet to be
attached later.
1. [(x) = x + 10
2. f(x) = 5x3 - x +1
3. f(x) = 4x2 – 7x
4. f(x) = 8x + 9x -1
5. f(x) - (х + 2)(2x?-3)
6. f(x) = 3x(18x + 13x + 1)
7. f(x) = +2x-4
3
x+4
8. f(x) =
x+9
9. f(x) =-7x+1
10. f(x) = x?+
Transcribed Image Text:b. Find the derivative of h(x) = *+1 Solution: Let f(x) = 3x + 1 and g(x) = 4x – 3 , then f'(x) = 3 and g'(x) = 4. S'(x)g(x) – g'(x)f(x) 3(4x – 3) – 4(3x + 1) 12x – 9 – 12x – 4 q'(x) = (g(x) (4x - 3)2 (4х - 3)2 40x? + 30x – 20x? 16x2 - 24x +9 DIFFERENTIAL CALCULUS 34 Gideon D. Oray, LPT, MST TEST YOURSELF Find f'(x) for each function. Show your complete solutions in a separate sheet to be attached later. 1. [(x) = x + 10 2. f(x) = 5x3 - x +1 3. f(x) = 4x2 – 7x 4. f(x) = 8x + 9x -1 5. f(x) - (х + 2)(2x?-3) 6. f(x) = 3x(18x + 13x + 1) 7. f(x) = +2x-4 3 x+4 8. f(x) = x+9 9. f(x) =-7x+1 10. f(x) = x?+
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