Question

9) x f(x) f'(x) g(x) g'(x) 1 2 2 3 -2 2 4 1/2 1 0 3 3 -1 3 3/2 4 2 -1 4 1 Given h(x) = f(g(x)), find h'(2) A) h'(2) = 3 B) h'(2) = 2 C) h'(2) = -1 D) h'(2) = 0 10) x f(x) f'(x) g(x) g'(x) 1 3 -2 2 1 2 1 0 3 1 3 3 3/2 4 0 4 4 1 3 -1 Given h(x) = f(g(x)), find h'(4) A) h'(4) = -7/2 B) h'(4) = -9/2 C) h'(4) = -1/2 D) h'(4) = -3/2 11) x f(x) f'(x) g(x) g'(x) 1 1 2 2 2 2 3 3/2 4 1/2 3 4 -1/2 3 -1 4 2 -2 2 -1 Given h(x) = f(g(x)), find h'(1) A) h'(1) = 6 B) h'(1) = 4 C) h'(1) = 0 D) h'(1) = 3

          9) x f(x) f'(x) g(x) g'(x)
1 2 2 3 -2
2 4 1/2 1 0
3 3 -1 3 3/2
4 2 -1 4 1
Given h(x) = f(g(x)), find h'(2)
A) h'(2) = 3 B) h'(2) = 2 C) h'(2) = -1 D) h'(2) = 0

10) x f(x) f'(x) g(x) g'(x)
1 3 -2 2 1
2 1 0 3 1
3 3 3/2 4 0
4 4 1 3 -1
Given h(x) = f(g(x)), find h'(4)
A) h'(4) = -7/2 B) h'(4) = -9/2 C) h'(4) = -1/2 D) h'(4) = -3/2

11) x f(x) f'(x) g(x) g'(x)
1 1 2 2 2
2 3 3/2 4 1/2
3 4 -1/2 3 -1
4 2 -2 2 -1
Given h(x) = f(g(x)), find h'(1)
A) h'(1) = 6 B) h'(1) = 4 C) h'(1) = 0 D) h'(1) = 3
        
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9) x f(x) f'(x) g(x) g'(x)
1 2 2 3 -2
2 4 1/2 1 0
3 3 -1 3 3/2
4 2 -1 4 1
Given h(x) = f(g(x)), find h'(2)
A) h'(2) = 3 B) h'(2) = 2 C) h'(2) = -1 D) h'(2) = 0

10) x f(x) f'(x) g(x) g'(x)
1 3 -2 2 1
2 1 0 3 1
3 3 3/2 4 0
4 4 1 3 -1
Given h(x) = f(g(x)), find h'(4)
A) h'(4) = -7/2 B) h'(4) = -9/2 C) h'(4) = -1/2 D) h'(4) = -3/2

11) x f(x) f'(x) g(x) g'(x)
1 1 2 2 2
2 3 3/2 4 1/2
3 4 -1/2 3 -1
4 2 -2 2 -1
Given h(x) = f(g(x)), find h'(1)
A) h'(1) = 6 B) h'(1) = 4 C) h'(1) = 0 D) h'(1) = 3

Added by Richard K.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Transcript

-
00:03 Hello, friends, welcome.
00:05 We have a question here and this is a homologous differentiation differential equation.
00:30 So here, our first equation is y square plus y x to d x is equal to, i'm sorry, this is added by x squared d, d, y is equal to 0.
00:51 Have to depreciate this equation.
00:54 So let's start solving.
00:56 This is a solve by the x squared d .y will be equal to minus y square plus y x, bx, and we y, upon bx be equal to minus y square plus y x by x squared...
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